Peter Narup (born 22 June 1969 in Östersund) is a Swedish curler and world champion.

He won gold medals in the 1997, 2001 and 2004 World Curling Championships, and received silver medals in 1998 and 2000, all times with skip Peja Lindholm.

Narup has normally played Number one on Lindholm's team.

He participated on the European team in the Continental Cup of Curling 2002, 2003 and 2004.

This biographical article relating to curling in Sweden is a stub.