József Nagy may refer to:

• József Nagy (athlete), Hungarian athlete who won a bronze medal at the 1908 Summer Olympics
• József Nagy (boxer, born 1934), Hungarian boxer who competed at the 1960 Summer Olympics
• József Nagy (boxer, born 1953), Hungarian boxer who competed at the 1976 Summer Olympics
• József Nagy (boxer, born 1975), Hungarian boxer who competed at the 1996 Summer Olympics
• József Nagy (footballer, born 1892), Hungarian football coach who coached the Sweden national football team in the 1934 and 1938 World Cups
• József Nagy (footballer, born 1960), Hungarian footballer who played in the 1986 FIFA World Cup
• József Nagy (footballer, born 1988), Hungarian footballer
• József Nagy (politician), Slovak politician of Hungarian descent