Josef Nemec (25 September 1933 – 10 September 2013) was a boxer from Czechoslovakia.
Born in Ceské Budejovice, Czechoslovakia, he competed in the 1956 Summer Olympics held in Melbourne, Australia, going out in the quarter finals of the heavyweight event.
He returned to the 1960 Summer Olympics held in Rome, Italy, again as a heavyweight boxer where he went one better, going out in the semi final to finish in third place.