Peter Bossman (born 2 November 1955) is a Ghanaian-born Slovenian doctor and politician.
He is currently serving as mayor of Piran, a city and municipality in Slovenian Istria in south-western Slovenia.
A member of the centre-left Social Democrats, he defeated the incumbent mayor Tomaž Gantar in the October 2010 mayoral election to become Slovenia's first black mayor.
In 2011 he was also appointed to the Committee of the Regions of the European Union.