diff --git a/src/chainparams.cpp b/src/chainparams.cpp
--- a/src/chainparams.cpp
+++ b/src/chainparams.cpp
@@ -506,15 +506,14 @@
         consensus.nSubsidyHalvingInterval = 150;
         // always enforce P2SH BIP16 on regtest
         consensus.BIP16Height = 0;
-        // BIP34 has not activated on regtest (far in the future so block v1 are
-        // not rejected in tests)
-        consensus.BIP34Height = 100000000;
+        // BIP34 activated on regtest (Used in functional tests)
+        consensus.BIP34Height = 500;
         consensus.BIP34Hash = BlockHash();
-        // BIP65 activated on regtest (Used in rpc activation tests)
+        // BIP65 activated on regtest (Used in functional tests)
         consensus.BIP65Height = 1351;
-        // BIP66 activated on regtest (Used in rpc activation tests)
+        // BIP66 activated on regtest (Used in functional tests)
         consensus.BIP66Height = 1251;
-        // CSV activated on regtest (Used in rpc activation tests)
+        // CSV activated on regtest (Used in functional tests)
         consensus.CSVHeight = 576;
         consensus.powLimit = uint256S(
             "7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff");
diff --git a/test/functional/abc-miner-fund.py b/test/functional/abc-miner-fund.py
--- a/test/functional/abc-miner-fund.py
+++ b/test/functional/abc-miner-fund.py
@@ -197,9 +197,9 @@
         # to the fund and check it is rejected.
         node.invalidateblock(node.getbestblockhash())
 
-        block_height = node.getblockcount()
+        block_height = node.getblockcount() + 1
         block = create_block(
-            fork_block_hash, create_coinbase(block_height), PHONON_ACTIVATION_TIME + 99)
+            fork_block_hash, create_coinbase(block_height), PHONON_ACTIVATION_TIME + 99, version=4)
         block.solve()
 
         assert_equal(node.submitblock(ToHex(block)), 'bad-cb-minerfund')
diff --git a/test/functional/feature_block.py b/test/functional/feature_block.py
--- a/test/functional/feature_block.py
+++ b/test/functional/feature_block.py
@@ -1050,7 +1050,7 @@
         blocks = []
         spend = out[32]
         for i in range(89, LARGE_REORG_SIZE + 89):
-            b = self.next_block(i, spend)
+            b = self.next_block(i, spend, version=4)
             tx = CTransaction()
             script_length = LEGACY_MAX_BLOCK_SIZE - len(b.serialize()) - 69
             script_output = CScript([b'\x00' * script_length])
@@ -1069,20 +1069,40 @@
         self.move_tip(88)
         blocks2 = []
         for i in range(89, LARGE_REORG_SIZE + 89):
-            blocks2.append(self.next_block("alt" + str(i)))
+            blocks2.append(self.next_block("alt" + str(i), version=4))
         self.send_blocks(blocks2, False, force_send=True)
 
         # extend alt chain to trigger re-org
-        block = self.next_block("alt" + str(chain1_tip + 1))
+        block = self.next_block("alt" + str(chain1_tip + 1), version=4)
         self.send_blocks([block], True, timeout=960)
 
         # ... and re-org back to the first chain
         self.move_tip(chain1_tip)
-        block = self.next_block(chain1_tip + 1)
+        block = self.next_block(chain1_tip + 1, version=4)
         self.send_blocks([block], False, force_send=True)
-        block = self.next_block(chain1_tip + 2)
+        block = self.next_block(chain1_tip + 2, version=4)
         self.send_blocks([block], True, timeout=960)
 
+        self.log.info("Reject a block with an invalid block header version")
+        b_v1 = self.next_block('b_v1', version=1)
+        self.send_blocks(
+            [b_v1],
+            success=False,
+            force_send=True,
+            reject_reason='bad-version(0x00000001)')
+
+        self.move_tip(chain1_tip + 2)
+        b_cb34 = self.next_block('b_cb34', version=4)
+        b_cb34.vtx[0].vin[0].scriptSig = b_cb34.vtx[0].vin[0].scriptSig[:-1]
+        b_cb34.vtx[0].rehash()
+        b_cb34.hashMerkleRoot = b_cb34.calc_merkle_root()
+        b_cb34.solve()
+        self.send_blocks(
+            [b_cb34],
+            success=False,
+            reject_reason='bad-cb-height',
+            reconnect=True)
+
     # Helper methods
     ################
 
@@ -1116,7 +1136,7 @@
         return tx
 
     def next_block(self, number, spend=None, additional_coinbase_value=0,
-                   script=CScript([OP_TRUE]), solve=True):
+                   script=CScript([OP_TRUE]), solve=True, *, version=1):
         if self.tip is None:
             base_block_hash = self.genesis_hash
             block_time = int(time.time()) + 1
@@ -1129,12 +1149,20 @@
         coinbase.vout[0].nValue += additional_coinbase_value
         coinbase.rehash()
         if spend is None:
-            block = create_block(base_block_hash, coinbase, block_time)
+            block = create_block(
+                base_block_hash,
+                coinbase,
+                block_time,
+                version=version)
         else:
             # all but one satoshi to fees
             coinbase.vout[0].nValue += spend.vout[0].nValue - 1
             coinbase.rehash()
-            block = create_block(base_block_hash, coinbase, block_time)
+            block = create_block(
+                base_block_hash,
+                coinbase,
+                block_time,
+                version=version)
             # spend 1 satoshi
             tx = self.create_tx(spend, 0, 1, script)
             self.sign_tx(tx, spend)
diff --git a/test/functional/test_framework/blocktools.py b/test/functional/test_framework/blocktools.py
--- a/test/functional/test_framework/blocktools.py
+++ b/test/functional/test_framework/blocktools.py
@@ -31,9 +31,10 @@
 TIME_GENESIS_BLOCK = 1296688602
 
 
-def create_block(hashprev, coinbase, ntime=None):
+def create_block(hashprev, coinbase, ntime=None, *, version=1):
     """Create a block (with regtest difficulty)."""
     block = CBlock()
+    block.nVersion = version
     if ntime is None:
         import time
         block.nTime = int(time.time() + 600)