diff --git a/vllm/block.py b/vllm/block.py
index 2cc6b947f2255..e7fb29c8c2c61 100644
--- a/vllm/block.py
+++ b/vllm/block.py
@@ -1,5 +1,7 @@
 """Token blocks."""
-from typing import List
+import weakref
+from collections import defaultdict
+from typing import Dict, List
 
 from vllm.utils import Device
 
@@ -7,6 +9,35 @@
 
 DEFAULT_LAST_ACCESSED_TIME = -1
 
+TokensBlock = List[int]
+
+
+class BlockPool:
+    """A pool of physical blocks.
+    When requests come, we create a lot of logical blocks;
+    when requests are done, we destroy a lot of logical blocks.
+    It turns out that creating and destroying logical blocks can be expensive,
+    especially for the `token_ids` field, which is a list of integers.
+    To avoid this overhead, we use a pool to manage the logical blocks.
+    When an old request is done and a new request comes, we can reuse the
+    logical blocks from the old request to feed the new request.
+    """
+
+    def __init__(self) -> None:
+        # block size to list of token blocks
+        self.pool: Dict[int, List[TokensBlock]] = defaultdict(list)
+
+    def alloc_block(self, block_size: int) -> TokensBlock:
+        if block_size in self.pool and self.pool[block_size]:
+            return self.pool[block_size].pop()
+        return [_BLANK_TOKEN_ID] * block_size
+
+    def del_block(self, block: TokensBlock) -> None:
+        self.pool[len(block)].append(block)
+
+
+_BLOCK_POOL = BlockPool()
+
 
 class LogicalTokenBlock:
     """A block that stores a contiguous chunk of tokens from left to right.
@@ -23,7 +54,13 @@ def __init__(
         self.block_number = block_number
         self.block_size = block_size
 
-        self.token_ids = [_BLANK_TOKEN_ID] * block_size
+        self.token_ids = _BLOCK_POOL.alloc_block(block_size)
+        # this finalizer is used to return the block to the pool when the object is deleted # noqa
+        # NOTE: don't use __del__ because it cannot guarantee the order of finalization, # noqa
+        # i.e. `self.token_ids` may be deleted before `self`, and we lose
+        #  the opportunity to return the block to the pool
+        self._finalizer = weakref.finalize(self, _BLOCK_POOL.del_block,
+                                           self.token_ids)
         self.num_tokens = 0
 
     def is_empty(self) -> bool: