diff --git a/openssl-sys/src/handwritten/x509_vfy.rs b/openssl-sys/src/handwritten/x509_vfy.rs
index d8768d7c8c..ef2a6aac94 100644
--- a/openssl-sys/src/handwritten/x509_vfy.rs
+++ b/openssl-sys/src/handwritten/x509_vfy.rs
@@ -47,6 +47,12 @@ extern "C" {
     pub fn X509_STORE_set_flags(store: *mut X509_STORE, flags: c_ulong) -> c_int;
 }
 
+const_ptr_api! {
+    extern "C" {
+        pub fn X509_STORE_set1_param(store: *mut X509_STORE, pm: #[const_ptr_if(ossl300)] X509_VERIFY_PARAM) -> c_int;
+    }
+}
+
 const_ptr_api! {
     extern "C" {
         pub fn X509_STORE_CTX_get_ex_data(ctx: #[const_ptr_if(ossl300)] X509_STORE_CTX, idx: c_int) -> *mut c_void;
@@ -73,6 +79,8 @@ cfg_if! {
 }
 
 extern "C" {
+    #[cfg(any(ossl102, libressl261))]
+    pub fn X509_VERIFY_PARAM_new() -> *mut X509_VERIFY_PARAM;
     #[cfg(any(ossl102, libressl261))]
     pub fn X509_VERIFY_PARAM_free(param: *mut X509_VERIFY_PARAM);
 
@@ -80,6 +88,12 @@ extern "C" {
     pub fn X509_VERIFY_PARAM_set_flags(param: *mut X509_VERIFY_PARAM, flags: c_ulong) -> c_int;
     #[cfg(any(ossl102, libressl261))]
     pub fn X509_VERIFY_PARAM_clear_flags(param: *mut X509_VERIFY_PARAM, flags: c_ulong) -> c_int;
+
+    #[cfg(any(ossl102, libressl261))]
+    pub fn X509_VERIFY_PARAM_set_time(param: *mut X509_VERIFY_PARAM, t: time_t);
+
+    #[cfg(any(ossl102, libressl261))]
+    pub fn X509_VERIFY_PARAM_set_depth(param: *mut X509_VERIFY_PARAM, depth: c_int);
 }
 const_ptr_api! {
     extern "C" {
diff --git a/openssl/src/x509/store.rs b/openssl/src/x509/store.rs
index a08d1e2ef9..120d6369a0 100644
--- a/openssl/src/x509/store.rs
+++ b/openssl/src/x509/store.rs
@@ -50,7 +50,7 @@ use crate::error::ErrorStack;
 use crate::ssl::SslFiletype;
 use crate::stack::StackRef;
 #[cfg(any(ossl102, libressl261))]
-use crate::x509::verify::X509VerifyFlags;
+use crate::x509::verify::{X509VerifyFlags, X509VerifyParamRef};
 use crate::x509::{X509Object, X509};
 use crate::{cvt, cvt_p};
 use openssl_macros::corresponds;
@@ -122,6 +122,13 @@ impl X509StoreBuilderRef {
     pub fn set_flags(&mut self, flags: X509VerifyFlags) -> Result<(), ErrorStack> {
         unsafe { cvt(ffi::X509_STORE_set_flags(self.as_ptr(), flags.bits())).map(|_| ()) }
     }
+
+    /// Sets certificate chain validation related parameters.
+    #[corresponds[X509_STORE_set1_param]]
+    #[cfg(any(ossl102, libressl261))]
+    pub fn set_param(&mut self, param: &X509VerifyParamRef) -> Result<(), ErrorStack> {
+        unsafe { cvt(ffi::X509_STORE_set1_param(self.as_ptr(), param.as_ptr())).map(|_| ()) }
+    }
 }
 
 generic_foreign_type_and_impl_send_sync! {
diff --git a/openssl/src/x509/tests.rs b/openssl/src/x509/tests.rs
index fcca2c7bf1..ace6175017 100644
--- a/openssl/src/x509/tests.rs
+++ b/openssl/src/x509/tests.rs
@@ -13,11 +13,13 @@ use crate::x509::extension::{
 };
 use crate::x509::store::X509StoreBuilder;
 #[cfg(any(ossl102, libressl261))]
-use crate::x509::verify::X509VerifyFlags;
+use crate::x509::verify::{X509VerifyFlags, X509VerifyParam};
 #[cfg(ossl110)]
 use crate::x509::X509Builder;
 use crate::x509::{X509Name, X509Req, X509StoreContext, X509VerifyResult, X509};
 use hex::{self, FromHex};
+#[cfg(any(ossl102, libressl261))]
+use libc::time_t;
 
 fn pkey() -> PKey<Private> {
     let rsa = Rsa::generate(2048).unwrap();
@@ -543,3 +545,126 @@ fn test_name_cmp() {
     assert_eq!(Ordering::Equal, subject.try_cmp(subject).unwrap());
     assert_eq!(Ordering::Greater, subject.try_cmp(issuer).unwrap());
 }
+
+#[test]
+#[cfg(any(ossl102, libressl261))]
+fn test_verify_param_set_time_fails_verification() {
+    const TEST_T_2030: time_t = 1893456000;
+
+    let cert = include_bytes!("../../test/cert.pem");
+    let cert = X509::from_pem(cert).unwrap();
+    let ca = include_bytes!("../../test/root-ca.pem");
+    let ca = X509::from_pem(ca).unwrap();
+    let chain = Stack::new().unwrap();
+
+    let mut store_bldr = X509StoreBuilder::new().unwrap();
+    store_bldr.add_cert(ca).unwrap();
+    let mut verify_params = X509VerifyParam::new().unwrap();
+    verify_params.set_time(TEST_T_2030);
+    store_bldr.set_param(&verify_params).unwrap();
+    let store = store_bldr.build();
+
+    let mut context = X509StoreContext::new().unwrap();
+    assert_eq!(
+        context
+            .init(&store, &cert, &chain, |c| {
+                c.verify_cert()?;
+                Ok(c.error())
+            })
+            .unwrap()
+            .error_string(),
+        "certificate has expired"
+    )
+}
+
+#[test]
+#[cfg(any(ossl102, libressl261))]
+fn test_verify_param_set_time() {
+    const TEST_T_2020: time_t = 1577836800;
+
+    let cert = include_bytes!("../../test/cert.pem");
+    let cert = X509::from_pem(cert).unwrap();
+    let ca = include_bytes!("../../test/root-ca.pem");
+    let ca = X509::from_pem(ca).unwrap();
+    let chain = Stack::new().unwrap();
+
+    let mut store_bldr = X509StoreBuilder::new().unwrap();
+    store_bldr.add_cert(ca).unwrap();
+    let mut verify_params = X509VerifyParam::new().unwrap();
+    verify_params.set_time(TEST_T_2020);
+    store_bldr.set_param(&verify_params).unwrap();
+    let store = store_bldr.build();
+
+    let mut context = X509StoreContext::new().unwrap();
+    assert!(context
+        .init(&store, &cert, &chain, |c| c.verify_cert())
+        .unwrap());
+}
+
+#[test]
+#[cfg(any(ossl102, libressl261))]
+fn test_verify_param_set_depth() {
+    let cert = include_bytes!("../../test/leaf.pem");
+    let cert = X509::from_pem(cert).unwrap();
+    let intermediate_ca = include_bytes!("../../test/intermediate-ca.pem");
+    let intermediate_ca = X509::from_pem(intermediate_ca).unwrap();
+    let ca = include_bytes!("../../test/root-ca.pem");
+    let ca = X509::from_pem(ca).unwrap();
+    let mut chain = Stack::new().unwrap();
+    chain.push(intermediate_ca).unwrap();
+
+    let mut store_bldr = X509StoreBuilder::new().unwrap();
+    store_bldr.add_cert(ca).unwrap();
+    let mut verify_params = X509VerifyParam::new().unwrap();
+    // OpenSSL 1.1.0+ considers the root certificate to not be part of the chain, while 1.0.2 and LibreSSL do
+    let expected_depth = if cfg!(any(ossl110)) { 1 } else { 2 };
+    verify_params.set_depth(expected_depth);
+    store_bldr.set_param(&verify_params).unwrap();
+    let store = store_bldr.build();
+
+    let mut context = X509StoreContext::new().unwrap();
+    assert!(context
+        .init(&store, &cert, &chain, |c| c.verify_cert())
+        .unwrap());
+}
+
+#[test]
+#[cfg(any(ossl102, libressl261))]
+fn test_verify_param_set_depth_fails_verification() {
+    let cert = include_bytes!("../../test/leaf.pem");
+    let cert = X509::from_pem(cert).unwrap();
+    let intermediate_ca = include_bytes!("../../test/intermediate-ca.pem");
+    let intermediate_ca = X509::from_pem(intermediate_ca).unwrap();
+    let ca = include_bytes!("../../test/root-ca.pem");
+    let ca = X509::from_pem(ca).unwrap();
+    let mut chain = Stack::new().unwrap();
+    chain.push(intermediate_ca).unwrap();
+
+    let mut store_bldr = X509StoreBuilder::new().unwrap();
+    store_bldr.add_cert(ca).unwrap();
+    let mut verify_params = X509VerifyParam::new().unwrap();
+    // OpenSSL 1.1.0+ considers the root certificate to not be part of the chain, while 1.0.2 and LibreSSL do
+    let expected_depth = if cfg!(any(ossl110)) { 0 } else { 1 };
+    verify_params.set_depth(expected_depth);
+    store_bldr.set_param(&verify_params).unwrap();
+    let store = store_bldr.build();
+
+    // OpenSSL 1.1.0+ added support for X509_V_ERR_CERT_CHAIN_TOO_LONG, while 1.0.2 simply ignores the intermediate
+    let expected_error = if cfg!(any(ossl110, libressl261)) {
+        "certificate chain too long"
+    } else {
+        "unable to get local issuer certificate"
+    };
+
+    let mut context = X509StoreContext::new().unwrap();
+    assert_eq!(
+        context
+            .init(&store, &cert, &chain, |c| {
+                c.verify_cert()?;
+                Ok(c.error())
+            })
+            .unwrap()
+            .error_string(),
+        expected_error
+    )
+}
diff --git a/openssl/src/x509/verify.rs b/openssl/src/x509/verify.rs
index 4752133996..20dd4bea8d 100644
--- a/openssl/src/x509/verify.rs
+++ b/openssl/src/x509/verify.rs
@@ -1,10 +1,10 @@
 use bitflags::bitflags;
 use foreign_types::ForeignTypeRef;
-use libc::{c_uint, c_ulong};
+use libc::{c_int, c_uint, c_ulong, time_t};
 use std::net::IpAddr;
 
-use crate::cvt;
 use crate::error::ErrorStack;
+use crate::{cvt, cvt_p};
 use openssl_macros::corresponds;
 
 bitflags! {
@@ -69,6 +69,17 @@ foreign_type_and_impl_send_sync! {
     pub struct X509VerifyParamRef;
 }
 
+impl X509VerifyParam {
+    /// Create an X509VerifyParam
+    #[corresponds(X509_VERIFY_PARAM_new)]
+    pub fn new() -> Result<X509VerifyParam, ErrorStack> {
+        unsafe {
+            ffi::init();
+            cvt_p(ffi::X509_VERIFY_PARAM_new()).map(X509VerifyParam)
+        }
+    }
+}
+
 impl X509VerifyParamRef {
     /// Set the host flags.
     #[corresponds(X509_VERIFY_PARAM_set_hostflags)]
@@ -139,4 +150,16 @@ impl X509VerifyParamRef {
             .map(|_| ())
         }
     }
+
+    /// Set the verification time, where time is of type time_t, traditionaly defined as seconds since the epoch
+    #[corresponds(X509_VERIFY_PARAM_set_time)]
+    pub fn set_time(&mut self, time: time_t) {
+        unsafe { ffi::X509_VERIFY_PARAM_set_time(self.as_ptr(), time) }
+    }
+
+    /// Set the verification depth
+    #[corresponds(X509_VERIFY_PARAM_set_depth)]
+    pub fn set_depth(&mut self, depth: c_int) {
+        unsafe { ffi::X509_VERIFY_PARAM_set_depth(self.as_ptr(), depth) }
+    }
 }
diff --git a/openssl/test/intermediate-ca.key b/openssl/test/intermediate-ca.key
new file mode 100644
index 0000000000..48f449534e
--- /dev/null
+++ b/openssl/test/intermediate-ca.key
@@ -0,0 +1,27 @@
+-----BEGIN RSA PRIVATE KEY-----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+-----END RSA PRIVATE KEY-----
diff --git a/openssl/test/intermediate-ca.pem b/openssl/test/intermediate-ca.pem
new file mode 100644
index 0000000000..266ef593cb
--- /dev/null
+++ b/openssl/test/intermediate-ca.pem
@@ -0,0 +1,22 @@
+-----BEGIN CERTIFICATE-----
+MIIDszCCApugAwIBAgIEFSQSITANBgkqhkiG9w0BAQsFADBFMQswCQYDVQQGEwJB
+VTETMBEGA1UECAwKU29tZS1TdGF0ZTEhMB8GA1UECgwYSW50ZXJuZXQgV2lkZ2l0
+cyBQdHkgTHRkMB4XDTIyMTEwMzA3MDc0OVoXDTI2MDgxMTA3MDc0OVowgYkxCzAJ
+BgNVBAYTAkFVMRMwEQYDVQQIDApTb21lLVN0YXRlMSEwHwYDVQQKDBhJbnRlcm5l
+dCBXaWRnaXRzIFB0eSBMdGQxIDAeBgNVBAsMF0ludGVybWVkaWF0ZSBEZXBhcnRt
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+Jdxf/eE5h+nbT0kNivdNTts5J1Pm6T4XkMtPEhNtJP51DiQLIsLbMamPIRzi9bF2
+eCviN9dYZdEKQzmH+3gXAXaNjHOTc43fSzxi5NZRN4rQF6WshTJn7rgNCHR9YDX8
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+AgGGMA0GCSqGSIb3DQEBCwUAA4IBAQCnUh7iNbnFBjVa4sFx02r65syxUhcvM/ya
+DcSe1esGUwjZLyKVl9BTfQ6kfNa/6Z/t5cprp0R3etalN31dxka7xSDwzFNdBczB
+zYDIVOVlcGLL1Xjozacm6YHo773dqxZS36rVMk3NqNUY6GJJ+CGso2xZShcBg2KG
+fPlNPiRz3847E3dwouDYcP1MXf2ql/Y7dRbE+8kb3bWkSusJVb/4EHjpR7yZjKmh
+eXHVVx1dKnCGRldn3+dSNhN6mxNaSeBE2hb158+diQvL5u3f//va7SOpCi0f4d8E
+UCnLhieyrDlr42XXfz42BqRpqBO1SDjQwzIIc9Fbevwb916OSExp
+-----END CERTIFICATE-----
diff --git a/openssl/test/leaf.pem b/openssl/test/leaf.pem
new file mode 100644
index 0000000000..0f7aa808de
--- /dev/null
+++ b/openssl/test/leaf.pem
@@ -0,0 +1,21 @@
+-----BEGIN CERTIFICATE-----
+MIIDejCCAmICBBUkEiQwDQYJKoZIhvcNAQELBQAwgYkxCzAJBgNVBAYTAkFVMRMw
+EQYDVQQIDApTb21lLVN0YXRlMSEwHwYDVQQKDBhJbnRlcm5ldCBXaWRnaXRzIFB0
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+MTEwNzE3NTJaMHkxCzAJBgNVBAYTAkFVMRMwEQYDVQQIDApTb21lLVN0YXRlMSEw
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+SIb3DQEBCwUAA4IBAQAZf0/r04AeKN2QhQ7Z0o2Iu/Yj3OD2tnbxVoltYk8CRfp3
+7VGl/5PUbmXXBSwMc4Udj88JlreU7iNEPAKtBqFczw0pwNfvxKG4Eh3vsfKrP+5g
+gtVwDG0mWeKJ7udrmFt8N0uwxVYDKp/gv5+Bw2eMew9Eoyenj6k2yg0nbFKzA3EH
+DqngETzX0dhdiYwVcoJFUK5ni3tVl9qi6FpmaTE6C5nTQLyH4CI+vo2x/QHINGaJ
+OzY/rx35iyVqXVqxN/gO/hp6g0nT5zLuMg2rfvcAhdDsD7htYcHiNkofrC8s0oQE
+W+r01EhxdEVvY1nYWanBCF6tktc5v5qf2WMS4ye5
+-----END CERTIFICATE-----