Curry, 67, rose to fame as Dr. Frank-N-Furter in the 1975 cult film "The Rocky Horror Picture Show," and maintained a successful career on stage and in film.
"Tim is doing great," Curry's Los Angeles agent Marcia Hurwitz told the Daily Mail.
Though he appears on stage and on screen less frequently in recent years, Curry is one of Britain's best-loved and most prolific voice actors. Hurwitz says his voice has not been impaired as a result of the stroke.
"He absolutely can speak and is recovering at this time and in great humour," she said.
After an acclaimed run in Monty Python's "Spamalot," Curry backed out of his scheduled run as The Player in "Rosencrantz and Gildenstern are Dead," in 2011 citing ill health.
Celebrity Families of 2014 [PHOTOS]