He netted a hat-trick against newly-promoted Cardiff, while Hazard also found the net against Bournemouth and title rivals Liverpool.
This is the second time the Belgian attacker has won the monthly prize, having done so in October 2016.
Eden Hazard has been named the Premier League Player of the Month for September
HAZARD’S 18/19 STATS
Minutes played: 647
The 27-year-old overcame competition from five other players, receiving the most combined votes from a panel of experts, Premier League captains, and from fans.
Hazard defeated other contenders Willy Boly of Wolves, Arsenal striker Alexandre Lacazette, recent England call-up James Maddison, Gylfi Sigurdsson of Everton and Manchester City winger Raheem Sterling.
His recent form has reignited talk over a potential move to Real Madrid. On Thursday, Hazard ruled out a January transfer to Spain but suggested he may need to move eventually in order to win the Ballon d’Or.
Hazard did give a very clear ‘No’ when it was suggested he could leave Chelsea in the winter transfer window.
He scored five goals in four matches as Chelsea maintained their unbeaten start to the season
Hazard netted a hat-trick against Cardiff as well as goals against Bournemouth and Liverpool
Hazard ruled out a January transfer but suggested he may need to move to win the Ballon d’Or
PREVIOUS 18/19 WINNERS
August: Lucas Moura (Tottenham)
He has eight goals already this season for Chelsea and when asked if he is currently the best player in the world, Hazard said: ‘Yes. The team is helping me a lot also. I can improve for sure. We can always improve in football.
‘We can score more goals, more assists. But honestly, I think I have been in better shape before than I am now.
‘Statistically speaking, this is as good a start as I have ever had. But on the pitch in my general performance, I have played better for both Lille and Chelsea.’