diff --git a/core/src/verification/verification.rs b/core/src/verification/verification.rs
index 5ed1fb2a38..c98d831846 100644
--- a/core/src/verification/verification.rs
+++ b/core/src/verification/verification.rs
@@ -230,10 +230,10 @@ fn verify_parent(header: &Header, parent: &Header) -> Result<(), Error> {
             found: *header.parent_hash(),
         })))
     }
-    if header.timestamp() < parent.timestamp() {
+    if header.timestamp() <= parent.timestamp() {
         return Err(From::from(BlockError::InvalidTimestamp(OutOfBounds {
             max: None,
-            min: Some(parent.timestamp()),
+            min: Some(parent.timestamp() + 1),
             found: header.timestamp(),
         })))
     }
diff --git a/types/src/header.rs b/types/src/header.rs
index d58aaccf7e..8fb730f4bf 100644
--- a/types/src/header.rs
+++ b/types/src/header.rs
@@ -271,7 +271,7 @@ impl Header {
 
         header.set_parent_hash(self.hash());
         header.set_number(self.number() + 1);
-        header.set_timestamp_now(self.timestamp());
+        header.set_timestamp_now(self.timestamp() + 1);
         header.note_dirty();
 
         header