Dick Guttman said Landau died Saturday of unexpected complications during a short stay at UCLA Medical Center.
Landau won an Academy Award for his supporting role as Bela Lugosi in the 1994 Tim Burton film "Ed Wood."
But by that time he already had a deep resume in Hollywood, including appearances in such classics as "North by Northwest," "Cleopatra," and his Oscar-nominated role in "Tucker."
So sad to read about the passing of Martin Landau. A great talent with a kind heart; always so warm to me. I will miss you. RIP.— Marlee Matlin (@MarleeMatlin) July 17, 2017
Landau also gained some measure of fame among "Star Trek" fans for a role he didn't play, pointy-eared starship Enterprise science officer, Mr. Spock.
"Star Trek" creator Gene Rodenberry had offered him the role, but Landau turned it down.
Before his death, he was the oldest living Academy-Award winner for the supporting actor category.
The Associated Press contributed to this post.