The festival, set to wrap up Sunday, handed out awards Saturday night, The Hollywood Reporter reported.
McConaughey took home the best actor award for his role in Jean-Marc Valle's "Dallas Buyers Club." Johansson won the best actress prize for performance in Spike Jonze's "Her," which stars Joaquin Phoenix as a man who falls in love with his computer's operating system, voiced by Johansson.
Other big winners at the festival were Japanese director Kiyoshi Kurosawa, who won the best director award for his film "Seventh Code," and Romania's Andrei Gruzsniczk, whose film "Quod Erat Demonstrandum" won the jury prize.
Meanwhile Alberto Fasulo's documentary "Tir" won the best film award at the festival, becoming the second Italian documentary in 10 weeks to win the main award at a major Italian film festival.
Gianfranco Rosi's "Sacro GRA" won the top prize at the Venice Film Festival in September.