Yes. According to Wikipedia: "The film was nominated for Academy Awards in the categories of Best Director, Best Picture and Best Writing, Screenplay Based on Material from Another Medium. In all of these categories, the film was eclipsed by The Bridge on the River Kwai, which won seven Academy Awards that year. At the Berlin International Film Festival, the film won the Golden Bear Award."
https://en.wikipedia.org/wiki/Twelve_Angry_Men#Awards