diff --git a/dev/archery/archery/docker/cli.py b/dev/archery/archery/docker/cli.py
index 3375d63306a10..eeb01716faa71 100644
--- a/dev/archery/archery/docker/cli.py
+++ b/dev/archery/archery/docker/cli.py
@@ -67,7 +67,7 @@ def _execute(self, *args, **kwargs):
 def docker(ctx, src, dry_run, using_legacy_docker_compose, using_docker_cli,
            using_docker_buildx):
     """
-    Interact with docker-compose based builds.
+    Interact with docker compose based builds.
     """
     ctx.ensure_object(dict)
 
@@ -78,8 +78,8 @@ def docker(ctx, src, dry_run, using_legacy_docker_compose, using_docker_cli,
             "try to pass the arrow source directory explicitly.".format(src)
         )
 
-    # take the docker-compose parameters like PYTHON, PANDAS, UBUNTU from the
-    # environment variables to keep the usage similar to docker-compose
+    # take the docker compose parameters like PYTHON, PANDAS, UBUNTU from the
+    # environment variables to keep the usage similar to docker compose
     using_docker_cli |= using_docker_buildx
     compose_bin = ("docker-compose" if using_legacy_docker_compose
                    else "docker compose")
@@ -98,7 +98,7 @@ def docker(ctx, src, dry_run, using_legacy_docker_compose, using_docker_cli,
 @click.pass_obj
 def check_config(obj):
     """
-    Validate docker-compose configuration.
+    Validate docker compose configuration.
     """
     # executes the body of the docker function above which does the validation
     # during the configuration loading
@@ -113,7 +113,7 @@ def check_config(obj):
 @click.pass_obj
 def docker_pull(obj, image, *, pull_leaf, ignore_pull_failures):
     """
-    Execute docker-compose pull.
+    Execute docker compose pull.
     """
     compose = obj['compose']
 
@@ -143,7 +143,7 @@ def docker_pull(obj, image, *, pull_leaf, ignore_pull_failures):
 @click.pass_obj
 def docker_build(obj, image, *, force_pull, use_cache, use_leaf_cache):
     """
-    Execute docker-compose builds.
+    Execute docker compose builds.
     """
     compose = obj['compose']
 
@@ -195,7 +195,7 @@ def docker_run(obj, image, command, *, env, user, force_pull, force_build,
                build_only, use_cache, use_leaf_cache, resource_limit,
                volume):
     """
-    Execute docker-compose builds.
+    Execute docker compose builds.
 
     To see the available builds run `archery docker images`.
 
@@ -207,7 +207,7 @@ def docker_run(obj, image, command, *, env, user, force_pull, force_build,
     # execute the builds but disable the image pulling
     archery docker run --no-cache conda-python
 
-    # pass a docker-compose parameter, like the python version
+    # pass a docker compose parameter, like the python version
     PYTHON=3.12 archery docker run conda-python
 
     # disable the cache only for the leaf image
@@ -265,7 +265,7 @@ def docker_run(obj, image, command, *, env, user, force_pull, force_build,
               help='Docker repository password')
 @click.pass_obj
 def docker_compose_push(obj, image, user, password):
-    """Push the generated docker-compose image."""
+    """Push the generated docker compose image."""
     compose = obj['compose']
     compose.push(image, user=user, password=password)
 
@@ -273,7 +273,7 @@ def docker_compose_push(obj, image, user, password):
 @docker.command('images')
 @click.pass_obj
 def docker_compose_images(obj):
-    """List the available docker-compose images."""
+    """List the available docker compose images."""
     compose = obj['compose']
     click.echo('Available images:')
     for image in compose.images():
@@ -283,14 +283,14 @@ def docker_compose_images(obj):
 @docker.command('info')
 @click.argument('service_name')
 @click.option('--show', '-s', required=False,
-              help="Show only specific docker-compose key. Examples of keys:"
+              help="Show only specific docker compose key. Examples of keys:"
                    " command, environment, build, dockerfile")
 @click.pass_obj
 def docker_compose_info(obj, service_name, show):
-    """Show docker-compose definition info for service_name.
+    """Show docker compose definition info for service_name.
 
-    SERVICE_NAME is the name of the docker service defined on
-    the docker-compose. Look at `archery docker images` output for names.
+    SERVICE_NAME is the name of the docker service defined in
+    docker-compose.yml. Look at `archery docker images` output for names.
     """
     compose = obj['compose']
     try:
@@ -299,6 +299,6 @@ def docker_compose_info(obj, service_name, show):
         click.echo(f'Service name {service_name} could not be found', err=True)
         sys.exit(1)
     else:
-        click.echo(f'Service {service_name} docker-compose config:')
+        click.echo(f'Service {service_name} docker compose config:')
         output = "\n".join(compose.info(service, show))
         click.echo(output)
diff --git a/dev/archery/archery/docker/core.py b/dev/archery/archery/docker/core.py
index fd559101b6e3e..66c4a48c1e73c 100644
--- a/dev/archery/archery/docker/core.py
+++ b/dev/archery/archery/docker/core.py
@@ -142,7 +142,7 @@ def _read_config(self, config_path, compose_bin):
                              stderr=subprocess.PIPE, stdout=subprocess.PIPE)
 
         if result.returncode != 0:
-            # strip the intro line of docker-compose errors
+            # strip the intro line of docker compose errors
             errors += result.stderr.decode().splitlines()
 
         if errors:
@@ -203,7 +203,7 @@ def formatdict(d, template):
                 )
             msg = (
                 "`{cmd}` exited with a non-zero exit code {code}, see the "
-                "process log above.\n\nThe docker-compose command was "
+                "process log above.\n\nThe {compose_bin} command was "
                 "invoked with the following parameters:\n\nDefaults defined "
                 "in .env:\n{dotenv}\n\nArchery was called with:\n{params}"
             )
@@ -406,7 +406,7 @@ def run(self, service_name, command=None, *, env=None, volumes=None,
                 cmd = service.get('command', '')
                 if cmd:
                     # service command might be already defined as a list
-                    # on the docker-compose yaml file.
+                    # in docker-compose.yml.
                     if isinstance(cmd, list):
                         cmd = shlex.join(cmd)
                     # Match behaviour from docker compose
@@ -418,7 +418,7 @@ def run(self, service_name, command=None, *, env=None, volumes=None,
             # execute as a plain docker cli command
             self._execute_docker('run', '--rm', *args)
         else:
-            # execute as a docker-compose command
+            # execute as a docker compose command
             args.append(service_name)
             if command is not None:
                 args.append(command)
diff --git a/dev/tasks/python-wheels/github.linux.yml b/dev/tasks/python-wheels/github.linux.yml
index 7a1c8fb4f9d80..a822c4d338e49 100644
--- a/dev/tasks/python-wheels/github.linux.yml
+++ b/dev/tasks/python-wheels/github.linux.yml
@@ -66,7 +66,7 @@ jobs:
           archery docker run python-wheel-manylinux-test-imports
           archery docker run python-wheel-manylinux-test-unittests
 
-      # Free-threaded wheels need to be tested using a different docker-compose service
+      # Free-threaded wheels need to be tested using a different docker compose service
       - name: Test free-threaded wheel
         if: |
           '{{ python_abi_tag }}' == 'cp313t'
diff --git a/docker-compose.yml b/docker-compose.yml
index a43a1e3c9a6f0..5714d524a960e 100644
--- a/docker-compose.yml
+++ b/docker-compose.yml
@@ -1090,9 +1090,9 @@ services:
 
   ubuntu-python-313-freethreading:
     # Usage:
-    #   docker-compose build ubuntu-cpp
-    #   docker-compose build ubuntu-python-313-freethreading
-    #   docker-compose run --rm ubuntu-python-313-freethreading
+    #   docker compose build ubuntu-cpp
+    #   docker compose build ubuntu-python-313-freethreading
+    #   docker compose run --rm ubuntu-python-313-freethreading
     # Parameters:
     #   ARCH: amd64, arm64v8, ...
     #   UBUNTU: 20.04, 22.04, 24.04
@@ -1328,11 +1328,11 @@ services:
 
   conda-python-no-numpy:
     # Usage:
-    #   docker-compose build conda
-    #   docker-compose build conda-cpp
-    #   docker-compose build conda-python
-    #   docker-compose build conda-python-no-numpy
-    #   docker-compose run --rm conda-python-no-numpy
+    #   docker compose build conda
+    #   docker compose build conda-cpp
+    #   docker compose build conda-python
+    #   docker compose build conda-python-no-numpy
+    #   docker compose run --rm conda-python-no-numpy
     image: ${REPO}:${ARCH}-conda-python-${PYTHON}-no-numpy
     build:
       context: .
@@ -1545,11 +1545,11 @@ services:
 
   conda-python-cpython-debug:
     # Usage:
-    #   docker-compose build conda
-    #   docker-compose build conda-cpp
-    #   docker-compose build conda-python
-    #   docker-compose build conda-python-cpython-debug
-    #   docker-compose run --rm conda-python-cpython-debug
+    #   docker compose build conda
+    #   docker compose build conda-cpp
+    #   docker compose build conda-python
+    #   docker compose build conda-python-cpython-debug
+    #   docker compose run --rm conda-python-cpython-debug
     image: ${REPO}:${ARCH}-conda-python-${PYTHON}-cpython-debug
     build:
       context: .
diff --git a/docs/source/format/Integration.rst b/docs/source/format/Integration.rst
index f76aa0fefcf27..e31fcd5bf1636 100644
--- a/docs/source/format/Integration.rst
+++ b/docs/source/format/Integration.rst
@@ -144,12 +144,12 @@ To run all tests, including Flight and C Data Interface integration tests, do:
    archery integration --with-all --run-flight --run-ipc --run-c-data
 
 Note that we run these tests in continuous integration, and the CI job uses
-docker-compose. You may also run the docker-compose job locally, or at least
+docker compose. You may also run the docker compose job locally, or at least
 refer to it if you have questions about how to build other languages or enable
 certain tests.
 
 See :ref:`docker-builds` for more information about the project's
-``docker-compose`` configuration.
+``docker compose`` configuration.
 
 .. _format_json_integration: