Geir Sveinsson (born 27 January 1964) is an Icelandic handball coach and former player who competed in the 1988 Summer Olympics and in the 1992 Summer Olympics. He was hired as the head coach of Akureyri Handboltafélag in January 2019. In August the same year, he was hired as the head coach of HSG Nordhorn-Lingen. In 2022, he was hired as the mayor of Hveragerði.