diff --git a/gnu/packages/docker.scm b/gnu/packages/docker.scm
index 94cfa2bdb7..8f80cd54d8 100644
--- a/gnu/packages/docker.scm
+++ b/gnu/packages/docker.scm
@@ -25,6 +25,7 @@
   #:use-module (guix packages)
   #:use-module (guix download)
   #:use-module (guix git-download)
+  #:use-module (guix build-system cmake)
   #:use-module (guix build-system gnu)
   #:use-module (guix build-system go)
   #:use-module (guix build-system python)
@@ -655,3 +656,36 @@ provisioning etc.")
 way to run commands in the current directory, but within a Docker container
 defined in a per-project configuration file.")
     (license license:gpl3+)))
+
+(define-public tini
+  (package
+    (name "tini")
+    (version "0.18.0")
+    (source (origin
+              (method git-fetch)
+              (uri (git-reference
+                    (url "https://github.com/krallin/tini.git")
+                    (commit (string-append "v" version))))
+              (file-name (git-file-name name version))
+              (sha256
+               (base32
+                "1h20i3wwlbd8x4jr2gz68hgklh0lb0jj7y5xk1wvr8y58fip1rdn"))))
+    (build-system cmake-build-system)
+    (arguments
+     `(#:tests? #f                    ;tests require a Docker daemon
+       #:phases (modify-phases %standard-phases
+                  (add-after 'unpack 'disable-static-build
+                    ;; Disable the static build as it fails to install, with
+                    ;; the error: "No valid ELF RPATH or RUNPATH entry exists
+                    ;; in the file".
+                    (lambda _
+                      (substitute* "CMakeLists.txt"
+                        ((".*tini-static.*") ""))
+                      #t)))))
+    (home-page "https://github.com/krallin/tini")
+    (synopsis "Tiny but valid init for containers")
+    (description "Tini is an init program specifically designed for use with
+containers.  It manages a single child process and ensures that any zombie
+processes produced from it are reaped and that signals are properly forwarded.
+Tini is integrated with Docker.")
+    (license license:expat)))