diff --git a/spacy/displacy/__init__.py b/spacy/displacy/__init__.py
index bc32001d7..6460c8e8f 100644
--- a/spacy/displacy/__init__.py
+++ b/spacy/displacy/__init__.py
@@ -11,20 +11,20 @@ from .render import DependencyRenderer, EntityRenderer, SpanRenderer
 from ..tokens import Doc, Span
 from ..errors import Errors, Warnings
 from ..util import is_in_jupyter
-
+from ..util import is_port_in_use
 
 _html = {}
 RENDER_WRAPPER = None
 
 
 def render(
-    docs: Union[Iterable[Union[Doc, Span, dict]], Doc, Span, dict],
-    style: str = "dep",
-    page: bool = False,
-    minify: bool = False,
-    jupyter: Optional[bool] = None,
-    options: Dict[str, Any] = {},
-    manual: bool = False,
+        docs: Union[Iterable[Union[Doc, Span, dict]], Doc, Span, dict],
+        style: str = "dep",
+        page: bool = False,
+        minify: bool = False,
+        jupyter: Optional[bool] = None,
+        options: Dict[str, Any] = {},
+        manual: bool = False,
 ) -> str:
     """Render displaCy visualisation.
 
@@ -74,14 +74,14 @@ def render(
 
 
 def serve(
-    docs: Union[Iterable[Doc], Doc],
-    style: str = "dep",
-    page: bool = True,
-    minify: bool = False,
-    options: Dict[str, Any] = {},
-    manual: bool = False,
-    port: int = 5000,
-    host: str = "0.0.0.0",
+        docs: Union[Iterable[Doc], Doc],
+        style: str = "dep",
+        page: bool = True,
+        minify: bool = False,
+        options: Dict[str, Any] = {},
+        manual: bool = False,
+        port: int = 5000,
+        host: str = "0.0.0.0",
 ) -> None:
     """Serve displaCy visualisation.
 
@@ -99,9 +99,15 @@ def serve(
     """
     from wsgiref import simple_server
 
+    if is_port_in_use(port):
+        port += 1
+        while is_port_in_use(port) and port < 65535:
+            port += 1
+
     if is_in_jupyter():
         warnings.warn(Warnings.W011)
     render(docs, style=style, page=page, minify=minify, options=options, manual=manual)
+
     httpd = simple_server.make_server(host, port, app)
     print(f"\nUsing the '{style}' visualizer")
     print(f"Serving on http://{host}:{port} ...\n")
diff --git a/spacy/util.py b/spacy/util.py
index 8d211a9a5..6d6fc494c 100644
--- a/spacy/util.py
+++ b/spacy/util.py
@@ -31,7 +31,7 @@ import shlex
 import inspect
 import pkgutil
 import logging
-
+import socket
 try:
     import cupy.random
 except ImportError:
@@ -1736,3 +1736,8 @@ def all_equal(iterable):
     (or if the input is an empty sequence), False otherwise."""
     g = itertools.groupby(iterable)
     return next(g, True) and not next(g, False)
+
+
+def is_port_in_use(port):
+    with socket.socket(socket.AF_INET, socket.SOCK_STREAM) as s:
+        return s.connect_ex(('localhost', port)) == 0
\ No newline at end of file