diff --git a/CHANGES/10142.bugfix.rst b/CHANGES/10142.bugfix.rst
new file mode 100644
index 00000000000..821db59818d
--- /dev/null
+++ b/CHANGES/10142.bugfix.rst
@@ -0,0 +1 @@
+Improved the parser error message shown when TLS handshake bytes are received on an HTTP port -- by :user:`puneetdixit200`.
diff --git a/CONTRIBUTORS.txt b/CONTRIBUTORS.txt
index b65e45ddc4a..428ac1a1fee 100644
--- a/CONTRIBUTORS.txt
+++ b/CONTRIBUTORS.txt
@@ -316,6 +316,7 @@ Phebe Polk
 Philipp A.
 Pierre-Louis Peeters
 Pieter van Beek
+Puneet Dixit
 Qiao Han
 Rafael Viotti
 Rahul Nahata
diff --git a/aiohttp/_http_parser.pyx b/aiohttp/_http_parser.pyx
index b1b642330bd..b323fe5a846 100644
--- a/aiohttp/_http_parser.pyx
+++ b/aiohttp/_http_parser.pyx
@@ -932,6 +932,8 @@ cdef parser_error_from_errno(cparser.llhttp_t* parser, data, pointer):
                  cparser.HPE_INVALID_TRANSFER_ENCODING}:
         return BadHttpMessage(err_msg)
     elif errno == cparser.HPE_INVALID_METHOD:
+        if data.startswith(b"\x16\x03"):
+            return BadHttpMethod(error="Received HTTPS traffic on an HTTP port")
         return BadHttpMethod(error=err_msg)
     elif errno in {cparser.HPE_INVALID_STATUS,
                    cparser.HPE_INVALID_VERSION,
diff --git a/aiohttp/http_exceptions.py b/aiohttp/http_exceptions.py
index 95d0d6373ae..8afb0f07a68 100644
--- a/aiohttp/http_exceptions.py
+++ b/aiohttp/http_exceptions.py
@@ -98,6 +98,8 @@ class BadHttpMethod(BadStatusLine):
     """Invalid HTTP method in status line."""
 
     def __init__(self, line: str = "", error: str | None = None) -> None:
+        if error is None and line.startswith("\x16\x03"):
+            error = "Received HTTPS traffic on an HTTP port"
         super().__init__(line, error or f"Bad HTTP method in status line {line!r}")
 
 
diff --git a/tests/test_http_parser.py b/tests/test_http_parser.py
index bb9ef3393bb..88269684973 100644
--- a/tests/test_http_parser.py
+++ b/tests/test_http_parser.py
@@ -1600,6 +1600,15 @@ def test_http_request_parser_bad_method(
         )
 
 
+def test_http_request_parser_tls_handshake_on_http_port(
+    parser: HttpRequestParser,
+) -> None:
+    with pytest.raises(http_exceptions.BadHttpMethod) as ctx:
+        parser.feed_data(b"\x16\x03\x03\x01F\x01\r\n\r\n")
+
+    assert "Received HTTPS traffic on an HTTP port" in str(ctx.value)
+
+
 def test_http_request_parser_bad_version(parser: HttpRequestParser) -> None:
     with pytest.raises(http_exceptions.BadHttpMessage):
         parser.feed_data(b"GET //get HT/11\r\nHost: a\r\n\r\n")