Nouri has appeared in numerous television series and television films. More recently, he had a recurring role on the series Yellowstone for three seasons. He starred opposite Kyle MacLachlan in the horror film The Hidden. He starred on the short-lived series Bay City Blues and Downtown, and on the sitcom Love & War. He starred in the Broadway production of the musical Victor/Victoria as King Marchan, opposite Julie Andrews. He appeared in three separate entries of Law & Order, each time in different roles. He had recurring roles on the series The O.C., Damages, NCIS, and Army Wives. He returned to soap operas with a year-long stint on All My Children. In 1983, he had a starring role as Nick Hurley in the romantic drama Flashdance. The film was one of the highest-grossing films of 1983, and was nominated for several top awards, winning an Academy Award for Best Original Song.