Peter Buur Steffensen (born 4 December 1979) is a retired Danish badminton player.

As a player, Peter was playing professionally from 2001 to 2009 on the Danish National Badminton Team, where he played doubles alongside Jonas Rasmussen, Mathias Boe and Thomas Laybourn winning several international titles in Europe in Sweden, Greece and the Netherlands.

He won two Danish youth titles in 2001, including the Croatia International.

In 2005 he represented Denmark at the IBF World Championships in the United States.

In 2006 he was successful at the International in Italy, Bulgaria and Finland, managing to position itself as number 10 in the world.