Gareth Bale won the PFA Player and Young Player of the Year award last term, as well as the Football Writers' trophy, after a number of superb performances for Tottenham.
"Individual awards should be for the winners," said Mourinho. "Last year, it happened to Gareth and not to a Manchester United player because Gareth was more than special.
"He had a fabulous season but normally individual awards are a consequence of a collective work, a team big award, which means winning the competitions.
"If I voted, I would always vote for a player who belongs to the champions. The most pre-eminent player must win the League. What happened with Gareth was outside the way I understand football. People should try to choose one of the champions. Football is about teams, not players."