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Actor and musician Jared Leto. (Carolyn Cole / Los Angeles Times / October 25, 2013)

Jared Leto won the Screen Actors Guild award for male actor in a supporting role Saturday for his portrayal of Rayon, an AIDS-stricken transsexual with a big heart, in the film "Dallas Buyers Club."

This is Leto's first SAG win, and the accolade marks his continued success among awards circles for the role. He has received a bevy of supporting actor honors, including awards from the L.A. Film Critics Assn. and New York Film Critics Circle, and more recently took home a Golden Globe. In addition, Leto is in the running for a supporting actor Oscar come March.

"I'm a big believer that the steeper the climb, the greater the view," Leto told The Times in November. "It's kind of the Everest thing: Why climb the mountain? Because it's there. I felt that way about Rayon — an impossible challenge."

WATCH: Cast, crew discuss the making of 'Dallas Buyers Club'

With "Dallas Buyers Club," Leto resumes his acting career after taking a six-year hiatus to tour with his rock band, 30 Seconds to Mars. Leto's last feature role was in "Chapter 27," where he gained 67 pounds to portray the man who killed John Lennon.

Leto bested Michael Fassbender as a monstrously cruel plantation owner in "12 Years a Slave," Barkhad Abdi as a fierce and unfaltering Somali pirate leader in "Captain Phillips," Daniel Brühl as a precise Formula One race car driver obsessed with one rivalry in "Rush" and James Gandolfini, as a divorced man looking for honest love in "Enough Said."

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FULL COVERAGE: Screen Actors Guild Awards 2014

SAG Awards 2014: Top winners and nominees

SAG Awards 2014: The complete list