diff --git a/tests/generators/kzg_4844/main.py b/tests/generators/kzg_4844/main.py
index 1c5aefc61..3bbd0c8ab 100644
--- a/tests/generators/kzg_4844/main.py
+++ b/tests/generators/kzg_4844/main.py
@@ -399,6 +399,20 @@ def case05_verify_blob_kzg_proof():
             'output': None
         }
 
+    # Edge case: Incorrect `G1_POINT_AT_INFINITY` Proof
+    blob = BLOB_RANDOM_VALID1
+    commitment = spec.blob_to_kzg_commitment(blob)
+    proof = spec.G1_POINT_AT_INFINITY
+    assert not spec.verify_blob_kzg_proof(blob, commitment, proof)
+    yield 'verify_blob_kzg_proof_case_incorrect_proof_point_at_infinity', {
+        'input': {
+            'blob': encode_hex(blob),
+            'commitment': encode_hex(commitment),
+            'proof': encode_hex(proof),
+        },
+        'output': False
+    }
+
 
 def case06_verify_blob_kzg_proof_batch():
     # Valid cases
@@ -423,7 +437,7 @@ def case06_verify_blob_kzg_proof_batch():
     # Incorrect proof
     proofs_incorrect = [bls_add_one(proofs[0])] + proofs[1:]
     assert not spec.verify_blob_kzg_proof_batch(VALID_BLOBS, commitments, proofs_incorrect)
-    yield 'verify_blob_kzg_proof_batch_case_invalid_proof', {
+    yield 'verify_blob_kzg_proof_batch_case_incorrect_proof_add_one', {
         'input': {
             'blobs': encode_hex_list(VALID_BLOBS),
             'commitments': encode_hex_list(commitments),
@@ -509,6 +523,21 @@ def case06_verify_blob_kzg_proof_batch():
         'output': None
     }
 
+    # Edge case: Incorrect `G1_POINT_AT_INFINITY` Proof
+    blob = BLOB_RANDOM_VALID1
+    commitment = spec.blob_to_kzg_commitment(blob)
+    proof = spec.G1_POINT_AT_INFINITY
+    assert not spec.verify_blob_kzg_proof_batch([blob], [commitment], [proof])
+
+    yield 'verify_blob_kzg_proof_batch_case_incorrect_proof_point_at_infinity', {
+        'input': {
+            'blobs': encode_hex_list([blob]),
+            'commitments': encode_hex_list([commitment]),
+            'proofs': encode_hex_list([proof]),
+        },
+        'output': False
+    }
+
 
 def create_provider(fork_name: SpecForkName,
                     handler_name: str,