diff --git a/.gitlab/ci/docker/ninja/centos7-aarch64.bash b/.gitlab/ci/docker/ninja/centos7-aarch64.bash
deleted file mode 100755
index 4052f29a42..0000000000
--- a/.gitlab/ci/docker/ninja/centos7-aarch64.bash
+++ /dev/null
@@ -1,20 +0,0 @@
-#!/usr/bin/env bash
-
-set -e
-set -x
-
-cleanup() {
-    docker container rm -fv "$build_container" >/dev/null 2>&1 || true
-    docker image rm -f "$build_image" >/dev/null 2>&1 || true
-}
-
-readonly suffix="-$(date -u +%Y-%m-%d)-${RANDOM}"
-readonly build_container="ninja-build-linux-aarch64$suffix"
-readonly build_image="ninja:build-linux-aarch64$suffix"
-readonly git_tag="${1-v1.11.0}"
-
-trap "cleanup" EXIT INT TERM
-
-docker image build --build-arg GIT_TAG="$git_tag" --tag="$build_image" "${BASH_SOURCE%/*}/centos7-aarch64"
-docker container create --name "$build_container" "$build_image"
-docker cp "$build_container:/ninja/ninja" "ninja"
diff --git a/.gitlab/ci/docker/ninja/centos7-aarch64/Dockerfile b/.gitlab/ci/docker/ninja/centos7-aarch64/Dockerfile
deleted file mode 100644
index 3fb13b0455..0000000000
--- a/.gitlab/ci/docker/ninja/centos7-aarch64/Dockerfile
+++ /dev/null
@@ -1,7 +0,0 @@
-FROM kitware/cmake:build-linux-aarch64-base-2020-12-21
-MAINTAINER Brad King <brad.king@kitware.com>
-
-ARG GIT_TAG=v1.11.0
-
-COPY build_ninja.sh /root/build_ninja.sh
-RUN scl enable devtoolset-7 -- sh /root/build_ninja.sh $GIT_TAG
diff --git a/.gitlab/ci/docker/ninja/centos7-aarch64/build_ninja.sh b/.gitlab/ci/docker/ninja/centos7-aarch64/build_ninja.sh
deleted file mode 100755
index 91fb2d4896..0000000000
--- a/.gitlab/ci/docker/ninja/centos7-aarch64/build_ninja.sh
+++ /dev/null
@@ -1,11 +0,0 @@
-#!/bin/sh
-
-set -e
-
-git clone https://github.com/ninja-build/ninja.git
-cd ninja
-git checkout "${1-v1.11.0}"
-./configure.py --bootstrap
-./ninja all
-./ninja_test
-strip ninja
diff --git a/.gitlab/ci/ninja.ps1 b/.gitlab/ci/ninja.ps1
index 4c4d675190..81d3f2e513 100644
--- a/.gitlab/ci/ninja.ps1
+++ b/.gitlab/ci/ninja.ps1
@@ -5,9 +5,18 @@ if ("$env:CMAKE_CI_JOB_NIGHTLY_NINJA" -eq "true" -And "$env:CMAKE_CI_NIGHTLY" -e
     exit $LASTEXITCODE
 }
 
-$version = "1.11.0"
-$sha256sum = "D0EE3DA143211AA447E750085876C9B9D7BCDD637AB5B2C5B41349C617F22F3B"
-$filename = "ninja-win"
+$version = "1.12.1"
+
+if ("$env:PROCESSOR_ARCHITECTURE" -eq "AMD64") {
+    $sha256sum = "F550FEC705B6D6FF58F2DB3C374C2277A37691678D6ABA463ADCBB129108467A"
+    $filename = "ninja-win"
+} elseif ("$env:PROCESSOR_ARCHITECTURE" -eq "ARM64") {
+    $sha256sum = "79C96A50E0DEAFEC212CFA85AA57C6B74003F52D9D1673DDCD1EAB1C958C5900"
+    $filename = "ninja-winarm64"
+} else {
+    throw ('unknown PROCESSOR_ARCHITECTURE: ' + "$env:PROCESSOR_ARCHITECTURE")
+}
+
 $tarball = "$filename.zip"
 
 $outdir = $pwd.Path
diff --git a/.gitlab/ci/ninja.sh b/.gitlab/ci/ninja.sh
index 753596b86d..530feac1ea 100755
--- a/.gitlab/ci/ninja.sh
+++ b/.gitlab/ci/ninja.sh
@@ -6,25 +6,23 @@ if test "$CMAKE_CI_JOB_NIGHTLY_NINJA" = "true" -a "$CMAKE_CI_NIGHTLY" = "true";
     exec .gitlab/ci/ninja-nightly.sh
 fi
 
-readonly version="1.11.0"
+readonly version="1.12.1"
 baseurl="https://github.com/ninja-build/ninja/releases/download/v$version"
 
 case "$(uname -s)-$(uname -m)" in
     Linux-x86_64)
         shatool="sha256sum"
-        sha256sum="9726e730d5b8599f82654dc80265e64a10a8a817552c34153361ed0c017f9f02"
+        sha256sum="6f98805688d19672bd699fbbfa2c2cf0fc054ac3df1f0e6a47664d963d530255"
         filename="ninja-linux"
         ;;
     Linux-aarch64)
         shatool="sha256sum"
-        sha256sum="b002eb77cfcef6d329cccf8b1cc7ad138302d6e19b5b76b10b4c4d38564b47b5"
-        # Use binary built by adjacent 'docker/ninja/centos7-aarch64.bash' script.
-        baseurl="https://cmake.org/files/dependencies"
-        filename="ninja-$version-1-linux-aarch64"
+        sha256sum="5c25c6570b0155e95fce5918cb95f1ad9870df5768653afe128db822301a05a1"
+        filename="ninja-linux-aarch64"
         ;;
     Darwin-*)
         shatool="shasum -a 256"
-        sha256sum="21915277db59756bfc61f6f281c1f5e3897760b63776fd3d360f77dd7364137f"
+        sha256sum="89a287444b5b3e98f88a945afa50ce937b8ffd1dcc59c555ad9b1baf855298c9"
         filename="ninja-mac"
         ;;
     *)