Documents from the Los Angeles County Department of Public Health indicate Curry died of coronary artery disease.
The documents also cited a history of stroke and kidney cancer as other significant conditions that contributed to his death.
Curry, who suffered a stroke in 2012 that put him in a wheelchair, died at his home in Toluca Lake last week. He was 80.
Curry was best known for playing Dr. Frank-N-Furter in "The Rocky Horror Picture Show." He earned three Tony nominations - for "Spamalot," "My Favorite Year" and "Amadeus" - and an Emmy nod in 1994.
His other film credits include "Home Alone 2: Lost in New York," "Clue" and "Annie."
The Associated Press contributed to this report.