Peter Fich Christiansen (born 4 April 1941) is a retired Danish rower who had his best achievements in the coxless pairs.
In this event, he won two European medals, in 1964 and 1965 together with Hans Jørgen Boye; they also finished in fifth place at the 1964 Summer Olympics.
At the 1968 Games, Christiansen rowed with Ib Larsen and won a bronze medal.
Four years later, he competed in the coxless fours and ended in sixth place.