Petar Kapisoda (born 26 June 1976) is a Montenegrin former handball player.

After starting out at his hometown club Lovćen, Kapisoda moved to Crvenka.

Subsequently, Kapisoda returned to his parent club Lovćen, helping them win back-to-back championships in 2000 and 2001.

With FR Yugoslavia, Kapisoda won two bronze medals at the World Championships (1999[1] and 2001[2]).

He also participated in the 2000 Summer Olympics and 2006 European Championship.