diff --git a/dev/archery/archery/crossbow/reports.py b/dev/archery/archery/crossbow/reports.py
index 1c6510ea4f35..0caa12bf4fe4 100644
--- a/dev/archery/archery/crossbow/reports.py
+++ b/dev/archery/archery/crossbow/reports.py
@@ -25,6 +25,7 @@
 import fnmatch
 import functools
 import time
+from urllib.parse import quote
 
 import click
 import requests
@@ -82,6 +83,14 @@ def task_url(self, task):
             # show link to the actual build, some CI providers implement
             # the statuses API others implement the checks API, retrieve any.
             return build_links[0]
+        elif task.ci == 'github':
+            branch = quote(task.branch, safe='')
+            return f'{self.repo_url}/actions?query=branch:{branch}'
+        elif task.ci == 'azure':
+            repo = '/'.join(self.repo_url.rsplit('/', 2)[-2:])
+            branch = quote(task.branch, safe='')
+            return (f'https://dev.azure.com/{repo}/_build/latest'
+                    f'?definitionId=1&branchName={branch}')
         else:
             # show link to the branch if no status build link was found.
             return self.branch_url(task.branch)
diff --git a/dev/archery/archery/crossbow/tests/test_reports.py b/dev/archery/archery/crossbow/tests/test_reports.py
index 02012d2f1beb..922666ba5fb5 100644
--- a/dev/archery/archery/crossbow/tests/test_reports.py
+++ b/dev/archery/archery/crossbow/tests/test_reports.py
@@ -17,12 +17,87 @@
 
 import re
 import textwrap
+from unittest import mock
+
+import pytest
 
 from archery.crossbow.cli import (NightlyEmailReport, TokenExpirationEmailReport)
 from archery.crossbow.core import yaml
 from archery.crossbow.reports import (ChatReport, CommentReport, Report)
 
 
+@pytest.mark.parametrize(('ci', 'expected_url'), [
+    ('github', 'https://github.com/apache/crossbow/actions?query=branch:{branch}'),
+    ('azure', 'https://dev.azure.com/apache/crossbow/_build/latest'
+     '?definitionId=1&branchName={branch}'),
+    ('travis', 'https://github.com/apache/crossbow/tree/{branch}'),
+    ('circle', 'https://github.com/apache/crossbow/tree/{branch}'),
+    ('appveyor', 'https://github.com/apache/crossbow/tree/{branch}'),
+    ('drone', 'https://github.com/apache/crossbow/tree/{branch}'),
+])
+def test_crossbow_task_url_without_build_link(load_fixture, ci, expected_url):
+    job = load_fixture('crossbow-job.yaml', decoder=yaml.load)
+    task = job.tasks['docker-cpp-cmake32']
+    task.ci = ci
+    task.status().build_links = []
+
+    report = Report(job)
+    assert report.task_url(task) == expected_url.format(branch=task.branch)
+
+
+@pytest.mark.parametrize(('ci', 'expected_url'), [
+    ('github', 'https://github.com/apache/crossbow/actions?query=branch:'
+     'feature%2Ffoo%2Bbar%26baz'),
+    ('azure', 'https://dev.azure.com/apache/crossbow/_build/latest'
+     '?definitionId=1&branchName=feature%2Ffoo%2Bbar%26baz'),
+])
+def test_crossbow_task_url_escaped_branch(load_fixture, ci, expected_url):
+    job = load_fixture('crossbow-job.yaml', decoder=yaml.load)
+    job.queue._remote_url += '.git'
+    task = job.tasks['docker-cpp-cmake32']
+    task.ci = ci
+    task.branch = 'feature/foo+bar&baz'
+    task.status().build_links = []
+
+    assert Report(job).task_url(task) == expected_url
+
+
+def test_crossbow_task_url_build_link(load_fixture):
+    job = load_fixture('crossbow-job.yaml', decoder=yaml.load)
+    task = job.tasks['docker-cpp-cmake32']
+    task.ci = 'github'
+    task.status().build_links = [
+        'https://github.com/apache/crossbow/actions/runs/1',
+        'https://github.com/apache/crossbow/actions/runs/2',
+    ]
+    report = Report(job, wait_for_task=10)
+
+    with mock.patch('archery.crossbow.reports.time.sleep') as sleep:
+        assert report.task_url(task) == task.status().build_links[0]
+        sleep.assert_not_called()
+
+
+@pytest.mark.parametrize('build_links', [
+    [],
+    ['https://github.com/apache/crossbow/actions/runs/1'],
+])
+def test_crossbow_task_url_after_wait(load_fixture, build_links):
+    job = load_fixture('crossbow-job.yaml', decoder=yaml.load)
+    task = job.tasks['docker-cpp-cmake32']
+    task.ci = 'github'
+    report = Report(job, wait_for_task=10)
+    expected_url = (build_links[0] if build_links else
+                    f'https://github.com/apache/crossbow/actions'
+                    f'?query=branch:{task.branch}')
+
+    with mock.patch.object(task, 'status', side_effect=[
+        mock.Mock(build_links=[]), mock.Mock(build_links=build_links)
+    ]) as status, mock.patch('archery.crossbow.reports.time.sleep') as sleep:
+        assert report.task_url(task) == expected_url
+        sleep.assert_called_once_with(10)
+        assert status.call_args_list == [mock.call(), mock.call(force_query=True)]
+
+
 def test_crossbow_comment_formatter(load_fixture):
     msg = load_fixture('crossbow-success-message.md')
     job = load_fixture('crossbow-job.yaml', decoder=yaml.load)