Mark Rylance and Alicia Vikander won the Oscar Awards for Best Supporting Actor and Actress separately at the 88th Academy Awards Ceremony at the Dolby Theatre on Sunday night.

Rylance, 56, beat Sylvester Stallone, Christian Bale, Tom Hardy and Mark Buffalo to win the award. He plays a Soviet spy in Steven Spielberg's cold war thriller Bridge of Spies.

Rylance's theatre performances have brought him three Tony awards.

Vikander, a 27-year-old Swedish actress and dancer, won the best supporting actress for her role in Tom Hooper's transgender drama The Danish Girl. The film focuses on the first ever recipient of gender reassignment surgery and the effect this has on his marriage.

Vikander thanked her parents while receiving her Oscar statuette, saying "thank you for giving me the belief anything can happen."

She beat Kate Winslet, Jennifer Leigh, Rooney Mara and Rachel McAdams for the award.

Vikander has also won the Screen Actors Guild award for her role.