Unni Birkrem (born 2 April 1966) is a Norwegian handball goalkeeper. She played 31 matches for the national handball team from 1985 to 1989, and participated at the 1986 World Women's Handball Championship, where the Norwegian team won a bronze medal. She is a twin sister of ÃÂ se Birkrem.
She made her senior debut for IK VÃÂ¥g in 1981 in the 4. division together with her sister. Two years later they both joined Kristiansand IF in the 2nd division. She then played for the top division club ByÃÂ¥sen IL from 1985 to 1990, where she retired. She won the Norwegian Cup once in 1988.
She is educated as a nurse.