diff --git a/src/validation.cpp b/src/validation.cpp
--- a/src/validation.cpp
+++ b/src/validation.cpp
@@ -2315,8 +2315,18 @@
             REJECT_AGAINST_FINALIZED, "bad-fork-prior-finalized");
     }
 
-    // Our candidate is valid, finalize it.
-    pindexFinalized = pindex;
+    // If there is no finalized block yet, finalize our candidate.
+    // If the block to finalize is on the same chain that the current
+    // finalized block pointer, ensure that its height make the
+    // finalization moves forward.
+    // Otherwise, the block is already finalized, there is nothing to do.
+    if (!pindexFinalized ||
+        (pindexFinalized && AreOnTheSameFork(pindex, pindexFinalized) &&
+         (pindex->nHeight > pindexFinalized->nHeight))) {
+        // Our candidate is valid, finalize it.
+        pindexFinalized = pindex;
+    }
+
     return true;
 }