diff --git a/Lib/asyncio/locks.py b/Lib/asyncio/locks.py
index ce5d8d5bfb2e81..588dca6c0e1f22 100644
--- a/Lib/asyncio/locks.py
+++ b/Lib/asyncio/locks.py
@@ -454,7 +454,7 @@ class Barrier(mixins._LoopBoundMixin):
     def __init__(self, parties):
         """Create a barrier, initialised to 'parties' tasks."""
         if parties < 1:
-            raise ValueError('parties must be > 0')
+            raise ValueError('parties must be >= 1')
 
         self._cond = Condition() # notify all tasks when state changes
 
diff --git a/Lib/threading.py b/Lib/threading.py
index 0bba85d08a0151..064c74d40f39d0 100644
--- a/Lib/threading.py
+++ b/Lib/threading.py
@@ -686,7 +686,7 @@ def __init__(self, parties, action=None, timeout=None):
 
         """
         if parties < 1:
-            raise ValueError("parties must be > 0")
+            raise ValueError("parties must be >= 1")
         self._cond = Condition(Lock())
         self._action = action
         self._timeout = timeout
diff --git a/Misc/NEWS.d/next/Library/2025-01-29-17-10-00.gh-issue-129403.314159.rst b/Misc/NEWS.d/next/Library/2025-01-29-17-10-00.gh-issue-129403.314159.rst
new file mode 100644
index 00000000000000..0c2bdd3136e3a3
--- /dev/null
+++ b/Misc/NEWS.d/next/Library/2025-01-29-17-10-00.gh-issue-129403.314159.rst
@@ -0,0 +1 @@
+Corrected :exc:`ValueError` message for :class:`asyncio.Barrier` and :class:`threading.Barrier`.