diff --git a/cwltool/argparser.py b/cwltool/argparser.py
index f9d98e32d..efced5386 100644
--- a/cwltool/argparser.py
+++ b/cwltool/argparser.py
@@ -903,6 +903,11 @@ def add_argument(
             action = DirectoryAppendAction
         else:
             action = AppendAction
+            items = inptype["items"]
+            if items == "int" or items == "long":
+                atype = int
+            elif items == "double" or items == "float":
+                atype = float
     elif isinstance(inptype, MutableMapping) and inptype["type"] == "enum":
         atype = str
     elif isinstance(inptype, MutableMapping) and inptype["type"] == "record":
diff --git a/tests/test_toolargparse.py b/tests/test_toolargparse.py
index 756c373e8..11ce5e3db 100644
--- a/tests/test_toolargparse.py
+++ b/tests/test_toolargparse.py
@@ -101,6 +101,62 @@
 outputs: []
 """
 
+script_int = """
+#!/usr/bin/env cwl-runner
+
+cwlVersion: v1.0
+class: ExpressionTool
+
+inputs:
+  foo: int[]
+
+expression: '{"bar": $(inputs.foo)}'
+
+outputs: []
+"""
+
+script_long = """
+#!/usr/bin/env cwl-runner
+
+cwlVersion: v1.0
+class: ExpressionTool
+
+inputs:
+  foo: long[]
+
+expression: '{"bar": $(inputs.foo)}'
+
+outputs: []
+"""
+
+script_float = """
+#!/usr/bin/env cwl-runner
+
+cwlVersion: v1.0
+class: ExpressionTool
+
+inputs:
+  foo: float[]
+
+expression: '{"bar": $(inputs.foo)}'
+
+outputs: []
+"""
+
+script_double = """
+#!/usr/bin/env cwl-runner
+
+cwlVersion: v1.0
+class: ExpressionTool
+
+inputs:
+  foo: double[]
+
+expression: '{"bar": $(inputs.foo)}'
+
+outputs: []
+"""
+
 scripts_argparse_params = [
     ("help", script_a, lambda x: ["--debug", x, "--input", get_data("tests/echo.cwl")]),
     ("boolean", script_b, lambda x: [x, "--help"]),
@@ -120,6 +176,31 @@
         script_e,
         lambda x: [x, "--foo", "http://example.com"],
     ),
+    (
+        "foo with int",
+        script_int,
+        lambda x: [x, "--foo", "1", "--foo", "2"],
+    ),
+    (
+        "foo with long for large value",
+        script_long,
+        lambda x: [x, "--foo", str(2**31 + 10)],
+    ),
+    (
+        "foo with long for small value",
+        script_long,
+        lambda x: [x, "--foo", str(-1 * (2**31) - 10)],
+    ),
+    (
+        "foo with float",
+        script_float,
+        lambda x: [x, "--foo", "1.2", "--foo", "3.4"],
+    ),
+    (
+        "foo with double",
+        script_double,
+        lambda x: [x, "--foo", "1.2", "--foo", "3.4"],
+    ),
 ]