Tvedt is a surname. Notable people with the surname include:
Birger Tvedt (1910–2002), Norwegian sports medical and physiotherapist Chris Tvedt (born 1954), Norwegian lawyer and crime fiction writer Jens Tvedt (1857–1935), Norwegian novelist and short story writer Jon Tvedt (1966–2009), Norwegian orienteering competitor and athlete Knut Tvedt (1906–1989), Norwegian director and jurist Knut Are Tvedt (born 1952), Norwegian encyclopedist Nils Tvedt (1883–1965), Norwegian diver Terje Tvedt (born 1951), Norwegian academic, author and documentary film maker Tom Tvedt (born 1968), Norwegian politician