The Belgium international has been nominated for the PFA Player of the Year Award after a fine Premier League campaign.
Hazard, 24, was the hero as Chelsea extended their lead at the top to 10 points after he scored the winner in his side's 1-0 victory over Manchester United at Stamford Bridge on Saturday.
Mourinho had lauded his attacking midfielder in the lead-up, and he went further after the game by labelling him one of the world's best.
"He's a kid, but he is also a family man and he knows he is one of the three best players in the world, responsibility comes with that and he is coping with that responsibility," he said.
"If people want to be fair, he gets that award [Player of the Year]. But the award I want him to win is the Premier League.
"I've had lots of stars, but he's the humble star. He's a great kid.
"Physically, mentally he's getting very, very strong. He understands his role. He understands his talent is fundamental for the team."
‘I joined Salford, initially on loan, from Derby U21s – I may be the only manager who’s ever gone out on loan! I loved the history and where the club came from’: Football League boss recalls bizarre managerial move in 2021
'They said I fought with Mario Balotelli at Swansea and against Sunderland. That shocked me. My lawyers called me about this, and it was the first I knew about it. It upset me, and I feel sorry for Mario.' Yaya Toure clears up Manchester City fight talk
