diff --git a/python/ray/serve/api.py b/python/ray/serve/api.py
index 1b1799257..141e63de6 100644
--- a/python/ray/serve/api.py
+++ b/python/ray/serve/api.py
@@ -417,7 +417,7 @@ def list_deployments() -> Dict[str, Deployment]:
     return _private_api.list_deployments()
 
 
-@PublicAPI(stability="alpha")
+@PublicAPI(stability="beta")
 def run(
     target: Union[ClassNode, FunctionNode],
     _blocking: bool = True,
@@ -435,8 +435,10 @@ def run(
             A user-built Serve Application or a ClassNode that acts as the
             root node of DAG. By default ClassNode is the Driver
             deployment unless user provides a customized one.
-        host: The host passed into serve.start().
-        port: The port passed into serve.start().
+        host: Host for HTTP servers to listen on. Defaults to
+            "127.0.0.1". To expose Serve publicly, you probably want to set
+            this to "0.0.0.0".
+        port: Port for HTTP server. Defaults to 8000.
 
     Returns:
         RayServeHandle: A regular ray serve handle that can be called by user
diff --git a/python/ray/serve/deployment.py b/python/ray/serve/deployment.py
index 0cc0b30e5..e4c74f974 100644
--- a/python/ray/serve/deployment.py
+++ b/python/ray/serve/deployment.py
@@ -166,7 +166,7 @@ class Deployment:
             "Use `deployment.deploy() instead.`"
         )
 
-    @PublicAPI(stability="alpha")
+    @PublicAPI(stability="beta")
     def bind(self, *args, **kwargs) -> Union[ClassNode, FunctionNode]:
         """Bind the provided arguments and return a class or function node.