diff --git a/lib/tests/modules.sh b/lib/tests/modules.sh
index ac0372e66f8a..96a91c0fffbc 100755
--- a/lib/tests/modules.sh
+++ b/lib/tests/modules.sh
@@ -65,6 +65,8 @@ checkConfigError 'The option .* defined in .* does not exist.' config.enable ./d
 # unsigned
 checkConfigOutput "42" config.value ./declare-int-unsigned-value.nix ./define-value-int-positive.nix
 checkConfigError 'The option value .* in .* is not of type.*unsigned integer.*' config.value ./declare-int-unsigned-value.nix ./define-value-int-negative.nix
+# positive
+checkConfigError 'The option value .* in .* is not of type.*positive integer.*' config.value ./declare-int-positive-value.nix ./define-value-int-zero.nix
 # between
 checkConfigOutput "42" config.value ./declare-int-between-value.nix ./define-value-int-positive.nix
 checkConfigError 'The option value .* in .* is not of type.*between.*-21 and 43.*inclusive.*' config.value ./declare-int-between-value.nix ./define-value-int-negative.nix
diff --git a/lib/tests/modules/declare-int-positive-value.nix b/lib/tests/modules/declare-int-positive-value.nix
new file mode 100644
index 000000000000..6e48c6ac8feb
--- /dev/null
+++ b/lib/tests/modules/declare-int-positive-value.nix
@@ -0,0 +1,9 @@
+{ lib, ... }:
+
+{
+  options = {
+    value = lib.mkOption {
+      type = lib.types.ints.positive;
+    };
+  };
+}
diff --git a/lib/tests/modules/define-value-int-zero.nix b/lib/tests/modules/define-value-int-zero.nix
new file mode 100644
index 000000000000..68bb9f415c3c
--- /dev/null
+++ b/lib/tests/modules/define-value-int-zero.nix
@@ -0,0 +1,3 @@
+{
+  value = 0;
+}
diff --git a/lib/types.nix b/lib/types.nix
index 021641fdc229..1675a54156df 100644
--- a/lib/types.nix
+++ b/lib/types.nix
@@ -151,6 +151,10 @@ rec {
           name = "unsignedInt";
           description = "unsigned integer, meaning >=0";
         };
+        positive = addCheck types.int (x: x > 0) // {
+          name = "positiveInt";
+          description = "positive integer, meaning >0";
+        };
         u8 = unsign 8 256;
         u16 = unsign 16 65536;
         u32 = unsign 32 4294967296;
diff --git a/nixos/doc/manual/development/option-types.xml b/nixos/doc/manual/development/option-types.xml
index 0b00f7077c2e..83dcf0232d9d 100644
--- a/nixos/doc/manual/development/option-types.xml
+++ b/nixos/doc/manual/development/option-types.xml
@@ -78,6 +78,13 @@
         for 8 bits).
     </para></listitem>
   </varlistentry>
+  <varlistentry>
+    <term>
+      <varname>types.ints.positive</varname>
+    </term>
+    <listitem><para>A positive integer (that is > 0).
+    </para></listitem>
+  </varlistentry>
 </variablelist>
 
 <para>String-related types:</para>