diff --git a/types/jest/package.json b/types/jest/package.json
index d2dd38a8831b4ed..45bcfcc4d4e2a56 100644
--- a/types/jest/package.json
+++ b/types/jest/package.json
@@ -3,5 +3,10 @@
     "dependencies": {
         "jest-diff": "^25.2.1",
         "pretty-format": "^25.2.1"
+    },
+    "types": "index",
+    "typesVersions": {
+        ">=3.8.0-0": { "*": ["ts3.8/*"] },
+        ">=3.2.0-0": { "*": ["ts3.2/*"] }
     }
 }
diff --git a/types/jest/ts3.2/index.d.ts b/types/jest/ts3.2/index.d.ts
new file mode 100644
index 000000000000000..8dbfc0e7c60fa16
--- /dev/null
+++ b/types/jest/ts3.2/index.d.ts
@@ -0,0 +1,23 @@
+// tslint:disable-next-line:no-bad-reference
+/// <reference path="../index.d.ts" />
+
+declare namespace jest {
+    interface Matchers<R, T = {}> {
+        /**
+         * For comparing numbers or big integer values.
+         */
+        toBeGreaterThan(expected: number | bigint): R;
+        /**
+         * For comparing numbers or big integer values.
+         */
+        toBeGreaterThanOrEqual(expected: number | bigint): R;
+        /**
+         * For comparing numbers or big integer values.
+         */
+        toBeLessThan(expected: number | bigint): R;
+        /**
+         * For comparing numbers or big integer values.
+         */
+        toBeLessThanOrEqual(expected: number | bigint): R;
+    }
+}
diff --git a/types/jest/ts3.2/jest-tests.ts b/types/jest/ts3.2/jest-tests.ts
new file mode 100644
index 000000000000000..b53c5b1f8682020
--- /dev/null
+++ b/types/jest/ts3.2/jest-tests.ts
@@ -0,0 +1,13 @@
+/* Basic matchers */
+
+describe('', () => {
+    it('', () => {
+        expect(BigInt(0)).toBeGreaterThan(BigInt(1));
+
+        expect(BigInt(0)).toBeGreaterThanOrEqual(BigInt(1));
+
+        expect(BigInt(0)).toBeLessThan(BigInt(1));
+
+        expect(BigInt(0)).toBeLessThanOrEqual(BigInt(1));
+    });
+});
diff --git a/types/jest/ts3.2/tsconfig.json b/types/jest/ts3.2/tsconfig.json
new file mode 100644
index 000000000000000..dc2701483baba15
--- /dev/null
+++ b/types/jest/ts3.2/tsconfig.json
@@ -0,0 +1,20 @@
+{
+    "compilerOptions": {
+        "module": "commonjs",
+        "lib": ["dom", "es6", "esnext", "es2020"],
+        "noImplicitAny": true,
+        "noImplicitThis": false,
+        "strictNullChecks": true,
+        "strictFunctionTypes": true,
+        "baseUrl": "../../",
+        "typeRoots": ["../../"],
+        "target": "esnext",
+        "types": [],
+        "noEmit": true,
+        "forceConsistentCasingInFileNames": true
+    },
+    "files": [
+        "index.d.ts",
+        "jest-tests.ts"
+    ]
+}
diff --git a/types/jest/ts3.2/tslint.json b/types/jest/ts3.2/tslint.json
new file mode 100644
index 000000000000000..ad93d8fc0d9ca6b
--- /dev/null
+++ b/types/jest/ts3.2/tslint.json
@@ -0,0 +1,6 @@
+{
+    "extends": "dtslint/dt.json",
+    "rules": {
+        "no-unnecessary-generics": false
+    }
+}
\ No newline at end of file
diff --git a/types/jest/ts3.8/index.d.ts b/types/jest/ts3.8/index.d.ts
new file mode 100644
index 000000000000000..ec0882128b6ba6c
--- /dev/null
+++ b/types/jest/ts3.8/index.d.ts
@@ -0,0 +1,2 @@
+// tslint:disable-next-line:no-bad-reference
+/// <reference path="../ts3.2/index.d.ts" />
diff --git a/types/jest/ts3.8/jest-tests.ts b/types/jest/ts3.8/jest-tests.ts
new file mode 100644
index 000000000000000..8e37f0757bed967
--- /dev/null
+++ b/types/jest/ts3.8/jest-tests.ts
@@ -0,0 +1,13 @@
+/* Basic matchers */
+
+describe('', () => {
+    it('', () => {
+        expect(0n).toBeGreaterThan(1n);
+
+        expect(0n).toBeGreaterThanOrEqual(1n);
+
+        expect(0n).toBeLessThan(1n);
+
+        expect(0n).toBeLessThanOrEqual(1n);
+    });
+});
diff --git a/types/jest/ts3.8/tsconfig.json b/types/jest/ts3.8/tsconfig.json
new file mode 100644
index 000000000000000..18de26be8c24998
--- /dev/null
+++ b/types/jest/ts3.8/tsconfig.json
@@ -0,0 +1,20 @@
+{
+    "compilerOptions": {
+        "module": "commonjs",
+        "lib": ["dom", "es6", "esnext", "es2020"],
+        "noImplicitAny": true,
+        "noImplicitThis": false,
+        "strictNullChecks": true,
+        "strictFunctionTypes": true,
+        "baseUrl": "../../",
+        "typeRoots": ["../../"],
+        "target": "es2020",
+        "types": [],
+        "noEmit": true,
+        "forceConsistentCasingInFileNames": true
+    },
+    "files": [
+        "index.d.ts",
+        "jest-tests.ts"
+    ]
+}
diff --git a/types/jest/ts3.8/tslint.json b/types/jest/ts3.8/tslint.json
new file mode 100644
index 000000000000000..ad93d8fc0d9ca6b
--- /dev/null
+++ b/types/jest/ts3.8/tslint.json
@@ -0,0 +1,6 @@
+{
+    "extends": "dtslint/dt.json",
+    "rules": {
+        "no-unnecessary-generics": false
+    }
+}
\ No newline at end of file