A veteran of the Yiddish Art Theater from his teens, Harris made his first Broadway appearance in 1937 in Schoolhouse on the Lot. His other Broadway credits include Xmas in Las Vegas, Minor Miracle, Foxy, Look, Ma, I'm Dancin'! and Brooklyn, U.S.A.. In 1952, Harris was the managing director of the Woodstock Playhouse in Woodstock, New York. Prior to that, he had directed repertory theater in Boston and Hollywood.
Television
From 1950 on, he appeared extensively on television series, specializing in playing shady, if not outright evil, characters. From 1953–1956 he played Jake Goldberg in The Goldbergs, one of his few sympathetic roles. In 1957, Harris played the lead role in The Court of Last Resort. He also made many guest appearances in many other TV series. These include eight appearances in Alfred Hitchcock Presents between 1956 and 1961 and seven appearances in Perry Mason between 1958 and 1965 including in the 1962 episode "The Case of the Dodging Domino". Among his seven appearances, he played the murderer three times, the murder victim once, and the defendant once. He also appeared in other television series such as Peter Gunn, 77 Sunset Strip, Ben Casey, The Asphalt Jungle, and Rawhide. Robert H. Harris also appeared in the first season of Barnaby Jones; episode titled, "Twenty Million Alibis".
Film
He starred in the 1958 B-movie horror filmHow to Make a Monster and had notable appearances as a rich cuckold in Elia Kazan's 1963 film America America, and Edward Dmytryk's 1965 filmMirage, as the obsessive-compulsive consulting psychiatrist. His other film credits included roles in Bundle of Joy, The Invisible Boy, Peyton Place, The George Raft Story, Apache Uprising, Valley of the Dolls, How Awful About Allan, The Great Northfield Minnesota Raid and The Man in the Glass Booth.
Harris died November 30, 1981, and was buried December 3, 1981. He was survived by his wife, Viola Harris, a son, a daughter, a brother and two sisters.
Filmography
Series in detail
;Appearances in Alfred Hitchcock Presents
"Mr. Fox" in episode: Shopping for Death, first broadcast on January 29, 1956.
"Laurence Appleby" in episode: The Orderly World of Mr. Appleby, first broadcast on April 15, 1956.
"John Hurley" in episode: The Hidden Thing, first broadcast on May 20, 1956.
"Albert Birch" in episode: Toby, first broadcast on November 4, 1956.
"LaFontaine" in episode: The Dangerous People, first broadcast on June 23, 1957.
"George Piper" in episode: The Safe Place, first broadcast on June 8, 1958.
"Ben Prowdy" in episode: Graduating Class, first broadcast on December 27, 1959.
"Morty Lenton" in episode: The Greatest Monster of Them All, first broadcast on February 14, 1961.