Steelman is a surname. Notable people with the surname include:
Alan Steelman (born 1942), Dallas businessman and former congressman
David Steelman, Missouri politician and lawyer, husband of Sarah Steelman
Sara Steelman, Pennsylvania politician and biologist
Sarah Steelman (born 1958), Missouri politician, wife of David Steelman
John R. Steelman (1900–1999), former White House chief of staff
Sanford L. Steelman, Jr. (born 1951), North Carolina judge
Farmer Steelman (1875–1944), American professional baseball player
Tyler Steelman, American actor
Fictional characters:
Steelman and Smith, characters in Henry Lawson stories
