diff --git a/asv/commands/run.py b/asv/commands/run.py
index 7e1cb4e64..35ed5cc2d 100644
--- a/asv/commands/run.py
+++ b/asv/commands/run.py
@@ -79,14 +79,18 @@ def _setup_arguments(cls, parser, env_default_same=False):
             rev-list``; or Mercurial log command. See 'specifying ranges'
             section of the `gitrevisions` manpage, or 'hg help revisions',
             for more info. Also accepts the
-            special values 'NEW', 'ALL', 'EXISTING', and 'HASHFILE:xxx'.
+            special values 'NEW', 'ALL', 'EXISTING', 'TAGS', and
+            'HASHFILE:xxx'.
             'NEW' will benchmark all commits since the latest
-            benchmarked on this machine.  'ALL' will benchmark all
-            commits in the project. 'EXISTING' will benchmark against
-            all commits for which there are existing benchmarks on any
-            machine. 'HASHFILE:xxx' will benchmark only a specific set
-            of hashes given in the file named 'xxx' ('-' means stdin),
-            which must have one hash per line. By default, will benchmark
+            benchmarked on this machine.
+            'ALL' will benchmark all commits in the project.
+            'EXISTING' will benchmark against all commits for which there
+            are existing benchmarks on any machine.
+            'TAGS' will benchmark against all tags in the project.
+            'HASHFILE:xxx' will benchmark only a specific set of hashes
+            given in the file named 'xxx' ('-' means stdin), which must
+            have one hash per line.
+            By default, will benchmark
             the head of each configured of the branches.""")
         parser.add_argument(
             "--date-period", type=common_args.time_period, default=None,
@@ -232,12 +236,15 @@ def run(cls, conf, range_spec=None, steps=None, date_period=None,
                                          branch in conf.branches]))
             except NoSuchNameError as exc:
                 raise util.UserError(f'Unknown branch {exc} in configuration')
-        elif range_spec == 'EXISTING':
+        elif range_spec == "EXISTING":
             commit_hashes = get_existing_hashes(conf.results_dir)
         elif range_spec == "NEW":
             # New commits on each configured branches
             old_commit_hashes = get_existing_hashes(conf.results_dir)
             commit_hashes = repo.get_new_branch_commits(conf.branches, old_commit_hashes)
+        elif range_spec == "TAGS":
+            # All tags on each configured branches
+            commit_hashes = list(reversed(list(repo.get_tags().keys())))
         elif range_spec == "ALL":
             # All commits on each configured branches
             commit_hashes = repo.get_new_branch_commits(conf.branches, [])
diff --git a/test/test_run.py b/test/test_run.py
index e48815618..0194c4d63 100644
--- a/test/test_run.py
+++ b/test/test_run.py
@@ -42,9 +42,11 @@ def test_run_spec(basic_conf_2):
     conf.build_cache_size = 5
 
     extra_branches = [(f'{util.git_default_branch()}~1', 'some-branch', [12])]
+    tags = (2, 12)
     dvcs_path = os.path.join(tmpdir, 'test_repo2')
     dvcs = tools.generate_test_repo(dvcs_path, [1, 2],
-                                    extra_branches=extra_branches)
+                                    extra_branches=extra_branches,
+                                    tags=tags)
     conf.repo = dvcs.path
 
     initial_commit = dvcs.get_hash(f"{util.git_default_branch()}~1")
@@ -103,6 +105,9 @@ def _test_run(range_spec, branches, expected_commits):
         for range_spec in (None, "NEW", "ALL"):
             _test_run(range_spec, branches, expected_commits)
 
+    expected_tag_runs = (initial_commit, "tag2", "tag12")
+    _test_run("TAGS", [None], expected_tag_runs)
+
     # test the HASHFILE version of range_spec'ing
     expected_commits = (initial_commit, branch_commit)
     with open(os.path.join(tmpdir, 'hashes_to_benchmark'), 'w') as f:
diff --git a/test/tools.py b/test/tools.py
index dd6eb2eb3..0f98cba03 100644
--- a/test/tools.py
+++ b/test/tools.py
@@ -346,7 +346,8 @@ def copy_template(src, dst, dvcs, values):
 
 
 def generate_test_repo(tmpdir, values=[0], dvcs_type='git',
-                       extra_branches=(), subdir=''):
+                       extra_branches=(), tags=(),
+                       subdir=''):
     """
     Generate a test repository
 
@@ -363,6 +364,8 @@ def generate_test_repo(tmpdir, values=[0], dvcs_type='git',
         For branch start commits, use relative references, e.g.,
         the format 'main~10' or 'default~10' works both for Hg
         and Git.
+     tags: list
+        List of of values from `values` to tag in the repository.
     subdir
         A relative subdirectory inside the repository to copy the
         test project into.
@@ -400,7 +403,11 @@ def generate_test_repo(tmpdir, values=[0], dvcs_type='git',
         copy_template(template_path, project_path, dvcs, mapping)
 
         dvcs.commit(f"Revision {i}")
-        dvcs.tag(i)
+        if tags:
+            if value in tags:
+                dvcs.tag(value)
+        else:
+            dvcs.tag(i)
 
     if extra_branches:
         for start_commit, branch_name, values in extra_branches:
@@ -412,7 +419,9 @@ def generate_test_repo(tmpdir, values=[0], dvcs_type='git',
                 }
                 copy_template(template_path, project_path, dvcs, mapping)
                 dvcs.commit(f"Revision {branch_name}.{i}")
-
+                if tags:
+                    if value in tags:
+                        dvcs.tag(value)
     return dvcs