diff --git a/CHANGELOG.md b/CHANGELOG.md
index dc3a65642b..8ac5ebcb85 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -33,6 +33,7 @@ Versions with only mechanical changes will be omitted from the following list.
 * Add support for getting week bounds based on a specific `NaiveDate` and a `Weekday` (#666)
 * Remove libc dependency from Cargo.toml.
 * Add the `and_local_timezone` method to `NaiveDateTime`
+* Fix the behavior of `Duration::abs()` for negative durations with non-zero nanos
 
 ## 0.4.19
 
diff --git a/src/oldtime.rs b/src/oldtime.rs
index eb0c5bcf20..53ad546725 100644
--- a/src/oldtime.rs
+++ b/src/oldtime.rs
@@ -249,7 +249,11 @@ impl Duration {
     /// Returns the duration as an absolute (non-negative) value.
     #[inline]
     pub fn abs(&self) -> Duration {
-        Duration { secs: self.secs.abs(), nanos: self.nanos }
+        if self.secs < 0 && self.nanos != 0 {
+            Duration { secs: (self.secs + 1).abs(), nanos: NANOS_PER_SEC - self.nanos }
+        } else {
+            Duration { secs: self.secs.abs(), nanos: self.nanos }
+        }
     }
 
     /// The minimum possible `Duration`: `i64::MIN` milliseconds.
@@ -610,6 +614,19 @@ mod tests {
         assert!(Duration::milliseconds(i64::MIN).checked_sub(&Duration::milliseconds(1)).is_none());
     }
 
+    #[test]
+    fn test_duration_abs() {
+        assert_eq!(Duration::milliseconds(1300).abs(), Duration::milliseconds(1300));
+        assert_eq!(Duration::milliseconds(1000).abs(), Duration::milliseconds(1000));
+        assert_eq!(Duration::milliseconds(300).abs(), Duration::milliseconds(300));
+        assert_eq!(Duration::milliseconds(0).abs(), Duration::milliseconds(0));
+        assert_eq!(Duration::milliseconds(-300).abs(), Duration::milliseconds(300));
+        assert_eq!(Duration::milliseconds(-700).abs(), Duration::milliseconds(700));
+        assert_eq!(Duration::milliseconds(-1000).abs(), Duration::milliseconds(1000));
+        assert_eq!(Duration::milliseconds(-1300).abs(), Duration::milliseconds(1300));
+        assert_eq!(Duration::milliseconds(-1700).abs(), Duration::milliseconds(1700));
+    }
+
     #[test]
     fn test_duration_mul() {
         assert_eq!(Duration::zero() * i32::MAX, Duration::zero());