He is hoping to become the first player in the Pemier League era to win the title with different clubs in successive seasons.
Premier League wins for Kante this season in 31 appearances - the same number he managed in 37 games for Leicester last term.
Chelsea next face Southampton tomorrow, and Saints defender Bertrand claims he voted for Kante to win the award as he wanted a defensive-minded player to get the recognition.More news: Shock over 'mass arrests' of gays in Chechnya
Kante defeated team mate Eden Hazard and Manchester United's Zlatan Ibrahimovic to the award.
Kante's former teammate at Leicester City Riyad Mahrez was the award victor past year. Birmingham City's Jess Carter won the young player of the year award.
England full-back Bronze won the women's player of the year award for the second time, after being part of the Manchester City squad which won the Women's Super League without losing a single game in 2016.
Antonio Conte's side will be looking to build on their FA Cup semi-final win over Tottenham by reopening the gap to seven points between the two sides before Spurs play on Wednesday.More news: Blake Griffin leaves Game 3 with bruised right big toe
Kante is already a Premier League champion and now odds on to become a Double victor just 12 months later - a giant of the game at only 5ft 6in.
Southampton's Oriol Romeu will give the club's midfield a significant boost when he returns from a two-match suspension for Tuesday's match against Chelsea, manager Claude Puel said.
Ahead of Southampton's trip to west London, Puel has compared Romeu, who is expected to start against his former club after missing Saints' last two games through suspension, to Kante and the manager feels both men are nearly equals in terms of quality. "This season so far, we have had a good season but we have to finish well". N'Golo Kante's peers and competitors saw him as the most consistent player in England.More news: Supply ship named for John Glenn arrives at space station