Poul Børge Kops (September 19, 1915 – February 23, 2000) was a Danish boxer who competed in the 1936 Summer Olympics. He was born in , Sorø municipality and was the older brother of Ebbe Kops. In 1936 he finished fourth in the lightweight class. He lost in the semi-finals to the upcoming gold medalist Imre Harangi and was not able to compete in the bronze medal bout with Erik Ågren.