Jozef Čapkovič (born 11 January 1948 in Bratislava, Czechoslovakia) is a former Slovak football player. He played for Czechoslovakia, making 16 appearances for the national side. He was a participant at the 1976 UEFA European Championship, where Czechoslovakia won the gold medal. He played mostly for Slovan Bratislava, although he played part of the 1977–78 Czechoslovak First League for Dukla Prague. His twin brother Ján was also a successful footballer. From 1992 to 1994 he was a Member of the National Council for the Slovak National Party. He unsuccessfully ran for a parliament seat again in 2010.