Jose Mourinho's Blues remained 13 points clear at the top of the table and with just three fixtures remaining, no side can displace them at the summit.
Eden Hazard scored the only goal of the contest at Stamford Bridge on the stroke of half-time, heading home the rebound from his penalty which was saved by Julian Speroni.
Sitting in second place is last season's champions Manchester City who managed a 1-0 win over Tottenham at White Hart Lane.
Sergio Aguero went two goals clear of Spurs striker Harry Kane at the top of the Golden Boot chart thanks to his 29th minute strike, making it 10 goals in seven league outings against the north Londoners.
A brace from Leonardo Ulloa and a rare goal from captain Wes Morgan gave the Foxes maximum points while condemning the Magpies to an eighth-straight defeat, ending the match with nine men after Mike Williamson and Daryl Janmaat were both cautioned twice.
The Belgian netted twice before the break prior to Romelu Lukaku's 59th-minute penalty which cut the Toffees' two-goal deficit in half.
Philippe Coutinho opened the scoring in the 19th minute with a well-taken effort that curled into Rob Green's top left corner before Leroy Fer volleyed home Joey Barton's corner with just over 15 minutes remaining.
Steven Gerrard saw his 79th-minute penalty saved by Green prior to Nedum Onuoha's red card for a second bookable offence before the Reds captain nodded home Coutinho's corner with three minutes remaining.
Elsewhere, Sunderland kept their survival hopes alive by defeating Southampton 2-1 at the Stadium of Light thanks to a pair of penalties from Jordi Gomez, Swansea City got the better of Stoke City 2-0, West Ham United edged Burnley 1-0 which kept the Clarets at the foot of the table and west Bromwich Albion beat Manchester United 1-0 at Old Trafford.
2014/15 Barclays Premier League - season scores
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