diff --git a/news/6340.feature b/news/6340.feature
new file mode 100644
index 00000000000..9afba8bf24a
--- /dev/null
+++ b/news/6340.feature
@@ -0,0 +1 @@
+Add a new option ``--save-wheel-names <filename>`` to ``pip wheel`` that writes the names of the resulting wheels to the given filename.
diff --git a/src/pip/_internal/commands/wheel.py b/src/pip/_internal/commands/wheel.py
index 7230470b7d7..63a3f19a9c9 100644
--- a/src/pip/_internal/commands/wheel.py
+++ b/src/pip/_internal/commands/wheel.py
@@ -102,6 +102,16 @@ def __init__(self, *args, **kw):
         cmd_opts.add_option(cmdoptions.no_clean())
         cmd_opts.add_option(cmdoptions.require_hashes())
 
+        cmd_opts.add_option(
+            '--save-wheel-names',
+            dest='path_to_wheelnames',
+            action='store',
+            metavar='path',
+            help=("Store the filenames of the built or downloaded wheels "
+                  "in a new file of given path. Filenames are separated "
+                  "by new line and file ends with new line"),
+        )
+
         index_opts = cmdoptions.make_option_group(
             cmdoptions.index_group,
             self.parser,
@@ -110,6 +120,28 @@ def __init__(self, *args, **kw):
         self.parser.insert_option_group(0, index_opts)
         self.parser.insert_option_group(0, cmd_opts)
 
+    def save_wheelnames(
+        self,
+        links_filenames,
+        path_to_wheelnames,
+        wheel_filenames,
+    ):
+        if path_to_wheelnames is None:
+            return
+
+        entries_to_save = wheel_filenames + links_filenames
+        entries_to_save = [
+            filename + '\n' for filename in entries_to_save
+            if filename.endswith('whl')
+        ]
+        try:
+            with open(path_to_wheelnames, 'w') as f:
+                f.writelines(entries_to_save)
+        except EnvironmentError as e:
+            logger.error('Cannot write to the given path: %s\n%s' %
+                         (path_to_wheelnames, e))
+            raise
+
     def run(self, options, args):
         # type: (Values, List[Any]) -> None
         cmdoptions.check_install_build_global(options)
@@ -163,10 +195,18 @@ def run(self, options, args):
                     build_options=options.build_options or [],
                     global_options=options.global_options or [],
                     no_clean=options.no_clean,
+                    path_to_wheelnames=options.path_to_wheelnames
                 )
                 build_failures = wb.build(
                     requirement_set.requirements.values(),
                 )
+                self.save_wheelnames(
+                    [req.link.filename for req in
+                     requirement_set.successfully_downloaded
+                     if req.link is not None],
+                    wb.path_to_wheelnames,
+                    wb.wheel_filenames,
+                )
                 if len(build_failures) != 0:
                     raise CommandError(
                         "Failed to build one or more wheels"
diff --git a/src/pip/_internal/wheel.py b/src/pip/_internal/wheel.py
index d524701bdac..af4a4aa7e89 100644
--- a/src/pip/_internal/wheel.py
+++ b/src/pip/_internal/wheel.py
@@ -58,7 +58,7 @@
 if MYPY_CHECK_RUNNING:
     from typing import (
         Dict, List, Optional, Sequence, Mapping, Tuple, IO, Text, Any,
-        Iterable, Callable, Set,
+        Iterable, Callable, Set, Union,
     )
     from pip._vendor.packaging.requirements import Requirement
     from pip._internal.req.req_install import InstallRequirement
@@ -908,7 +908,8 @@ def __init__(
         build_options=None,  # type: Optional[List[str]]
         global_options=None,  # type: Optional[List[str]]
         check_binary_allowed=None,  # type: Optional[BinaryAllowedPredicate]
-        no_clean=False  # type: bool
+        no_clean=False,  # type: bool
+        path_to_wheelnames=None,  # type: Optional[Union[bytes, Text]]
     ):
         # type: (...) -> None
         if check_binary_allowed is None:
@@ -924,6 +925,10 @@ def __init__(
         self.global_options = global_options or []
         self.check_binary_allowed = check_binary_allowed
         self.no_clean = no_clean
+        # path where to save built names of built wheels
+        self.path_to_wheelnames = path_to_wheelnames
+        # file names of built wheel names
+        self.wheel_filenames = []  # type: List[Union[bytes, Text]]
 
     def _build_one(self, req, output_dir, python_tag=None):
         """Build one wheel.
@@ -1134,6 +1139,9 @@ def build(
                 )
                 if wheel_file:
                     build_success.append(req)
+                    self.wheel_filenames.append(
+                        os.path.relpath(wheel_file, output_dir)
+                    )
                     if should_unpack:
                         # XXX: This is mildly duplicative with prepare_files,
                         # but not close enough to pull out to a single common
diff --git a/tests/functional/test_wheel.py b/tests/functional/test_wheel.py
index 5ebc9ea4c21..92f2c9ef479 100644
--- a/tests/functional/test_wheel.py
+++ b/tests/functional/test_wheel.py
@@ -1,6 +1,7 @@
 """'pip wheel' tests"""
 import os
 import re
+import stat
 from os.path import exists
 
 import pytest
@@ -255,3 +256,65 @@ def test_legacy_wheels_are_not_confused_with_other_files(script, tmpdir, data):
     wheel_file_name = 'simplewheel-1.0-py%s-none-any.whl' % pyversion[0]
     wheel_file_path = script.scratch / wheel_file_name
     assert wheel_file_path in result.files_created, result.stdout
+
+
+def test_pip_option_save_wheel_name(script, data):
+    """Check if the option saves the filenames of built wheels
+    """
+    script.pip(
+        'wheel', '--no-index', '-f', data.find_links,
+        'require_simple==1.0',
+        '--save-wheel-name', 'wheelnames',
+    )
+
+    wheel_file_names = [
+        'require_simple-1.0-py%s-none-any.whl' % pyversion[0],
+        'simple-3.0-py%s-none-any.whl' % pyversion[0],
+    ]
+    wheelnames_path = script.scratch_path / 'wheelnames'
+    with open(wheelnames_path, 'r') as wheelnames_file:
+        wheelnames_entries = (wheelnames_file.read()).splitlines()
+    assert wheel_file_names == wheelnames_entries
+
+
+def test_pip_option_save_wheel_name_Permission_error(script, data):
+
+    temp_file = script.base_path / 'scratch' / 'wheelnames'
+
+    wheel_file_names = [
+        'require_simple-1.0-py%s-none-any.whl' % pyversion[0],
+        'simple-3.0-py%s-none-any.whl' % pyversion[0],
+    ]
+
+    script.pip(
+        'wheel', '--no-index', '-f', data.find_links,
+        'require_simple==1.0',
+        '--save-wheel-name', 'wheelnames',
+    )
+    os.chmod(temp_file, stat.S_IREAD)
+    result = script.pip(
+        'wheel', '--no-index', '-f', data.find_links,
+        'require_simple==1.0',
+        '--save-wheel-name', 'wheelnames', expect_error=True,
+    )
+    os.chmod(temp_file, stat.S_IREAD | stat.S_IWRITE)
+
+    assert "ERROR: Cannot write to the given path: wheelnames\n" \
+           "[Errno 13] Permission denied: 'wheelnames'\n" in result.stderr
+
+    with open(temp_file) as f:
+        result = f.read().splitlines()
+    # check that file stays same
+    assert result == wheel_file_names
+
+
+def test_pip_option_save_wheel_name_error_during_build(script, data):
+    script.pip(
+        'wheel', '--no-index', '--save-wheel-name', 'wheelnames',
+        '-f', data.find_links, 'wheelbroken==0.1',
+        expect_error=True,
+    )
+    wheelnames_path = script.base_path / 'scratch' / 'wheelnames'
+    with open(wheelnames_path) as f:
+        wheelnames = f.read().splitlines()
+    assert wheelnames == []
diff --git a/tests/unit/test_wheel.py b/tests/unit/test_wheel.py
index 2a824c7fd7b..254986e7f44 100644
--- a/tests/unit/test_wheel.py
+++ b/tests/unit/test_wheel.py
@@ -9,6 +9,7 @@
 from pip._vendor.packaging.requirements import Requirement
 
 from pip._internal import pep425tags, wheel
+from pip._internal.commands.wheel import WheelCommand
 from pip._internal.exceptions import InvalidWheelFilename, UnsupportedWheel
 from pip._internal.models.link import Link
 from pip._internal.req.req_install import InstallRequirement
@@ -848,3 +849,30 @@ def test_rehash(self, tmpdir):
         h, length = wheel.rehash(self.test_file)
         assert length == str(self.test_file_len)
         assert h == self.test_file_hash_encoded
+
+
+class TestWheelCommand(object):
+
+    def test_save_wheelnames(self, tmpdir):
+        wheel_filenames = ['Flask-1.1.dev0-py2.py3-none-any.whl']
+        links_filenames = [
+            'flask',
+            'Werkzeug-0.15.4-py2.py3-none-any.whl',
+            'Jinja2-2.10.1-py2.py3-none-any.whl',
+            'itsdangerous-1.1.0-py2.py3-none-any.whl',
+            'Click-7.0-py2.py3-none-any.whl'
+        ]
+
+        expected = wheel_filenames + links_filenames[1:]
+        expected = [filename + '\n' for filename in expected]
+        temp_file = tmpdir.joinpath('wheelfiles')
+
+        WheelCommand('name', 'summary').save_wheelnames(
+            links_filenames,
+            temp_file,
+            wheel_filenames
+        )
+
+        with open(temp_file, 'r') as f:
+            test_content = f.readlines()
+        assert test_content == expected