Thygesen is a surname. Notable people with the surname include:

Jesper Thygesen (born 1969), Danish football director, commentator and former player Knut Henning Thygesen (born 1953), Norwegian author and politician Mikkel Thygesen (born 1984), Danish footballer Poul-Erik Thygesen (born 1950), Danish footballer Sara Thygesen (born 1991), Danish badminton player

See also Meanings of minor planet names: 23001–24000#749