Björn Borg (14 November 1919–13 April 2009) was a Swedish backstroke and freestyle swimmer who competed in the 1936 Summer Olympics.
He was born in Örby and died in Zürich, Switzerland on April 13, 2009.
In 1936 he was a member of the Swedish relay team which finished eight in the 4×200 metre freestyle relay competition. In the 100 metre backstroke event he was eliminated in the semi-finals.
Borg won the Svenska Dagbladet Gold Medal in 1938 and the 400 m and 1500 m freestyle events at 1938 European Swimming Championships.
He represented the club Norrköpings KK.