It is the fourth league title in 11 seasons, but only the fifth in Chelsea’s 110-year history.
The Ivory Coast striker, who first signed for Chelsea in 2004, has scored 104 goals in 253 league matches.
Chelsea are eight points clear of City going into their final match of the season.
Liverpool’s Champions League hopes dashed after Chelsea hold them to a 1-1 draw.
Hazard’s 45th minute header gives Chelsea 1-0 win over Palace and first Premier League title since 2010.
Chelsea have 80 points from 34 games with last season’s champions Manchester City second on 67.
Belgium international Hazard found a neat finish in the 38th minute to give Chelsea 1-0 win.
According to Football Association Fair Play delegates, Chelsea the worst-behaved team.
Fellaini received a standing ovation when he was substituted near the end of Sunday’s 4-2 victory over City.
A terrible mistake by Stoke keeper Asmir Begovic allowed Loic Remy to roll in Chelsea’s winner after 62 minutes.
Costa opened the scoring for Chelsea but Southampton deservedly equalised eight minutes later.
Manchester City’s title defense was dealt a further blow Saturday with a first loss to Burnley in 41 years.
PSG managed to stretch the game to the extra time with a David Luiz header and held Chelsea to a 2-2 draw.
Behind Chelsea and City, victories for Arsenal, United and Liverpool kept the CL qualifications tight.
Captain John Terry led Chelsea to its first trophy in two years scoring the opener in a 2-0 victory over Tottenham.