Anders Gjellerup Koch is a Danish actor who was educated at the Aarhus Theatre School of Acting in 1986 and has had roles at the Royal Danish Theatre, Odense Theatre, Gladsaxe Theatre and the Danish Theatre during his career. From 1998 he worked freelance, but has been a permanent employee at Odense Theatre since 2004.

He is the son of the actors Eik Koch and Lise Gjellerup Koch and is the brother of Christiane Gjellerup Koch, who is also an actress. In private life, he has been married to Mette Maria Ahrenkiel since 1996.