Bournemouth became the 12th consecutive side to leave Tottenham's White Hart Lane empty-handed as Harry Kane hit the 20 league goal mark for the third season in a row with his side's third.
Long-time leader Chelsea are away at Manchester United on Sunday for what looks the toughest fixture of their run-in.
With only two of their last six matches at home Tottenham are still rank outsiders to snatch a first title since 1961.
Manchester City moved above Liverpool into third after they registered an impressive 3-0 win away at Southampton, with captain Vincent Kompany on the scoresheet.
Kompany's impassioned celebration, following his 55th-minute opener, told the story of what has been two injury-hit seasons for the inspirational Belgian defender.
Leroy Sane and Sergio Aguero - with his 11th goal in 11 games in all competitions - were also on the scoresheet.
[caption id="attachment_58318" align="aligncenter" width="640"]
Manchester City's Sergio Aguero scores against Southampton at St Mary's REUTERS
In the title run-in, Chelsea must still also visit Everton who racked up an eighth successive home win when beating Burnley 3-1 to move above Arsenal and United into fifth, albeit having played more games than the teams around them.
Premier League top scorer Romelu Lukaku struck Everton's third, taking his season tally to 24.
There was little movement in the relegation battle with none of the clubs in the bottom six managing a win.
Bottom club Sunderland scored their first goal in eight games as Fabio Borini's late equaliser earned them a 2-2 draw at home to West Ham United which left them nine points behind 17th-placed Hull City who lost 3-1 at Stoke City.
Second-from-bottom Middlesbrough host seventh-placed Arsenal on Monday while 18th-placed Swansea City slumped to a fifth defeat in six matches in a 1-0 loss at Watford.
Swansea remain two points behind Hull while Crystal Palace, who battled back from two down to draw 2-2 at home to champions Leicester City, are seven points above the relegation trapdoor.
Bournemouth are still looking over their shoulders, although they also have a seven-point cushion.
Since losing to Liverpool on Feb. 11 Tottenham have won seven games in a row - their best top flight sequence for 50 years - scoring 22 and leaking only four.
A week after beating Watford 4-0, having also kicked off before Chelsea, they produced another display oozing confidence with Mousa Dembele and Son Heung-Min scoring inside the first 20 minutes and Kane striking just after halftime.
Kane is the fourth player to score 20 or more goals in the Premier League three seasons in a row, joining Thierry Henry, Alan Shearer and Ruud van Nistelrooy.
Three days before taking on Atletico Madrid in their Champions League quarter-final, seeking to overturn a 1-0 deficit from the first leg, Leicester were involved in a rip-roaring duel at Selhurst Park.
Goals by Robert Huth and Jamie Vardy put them 2-0 ahead but Palace hit back through Yohan Cabaye and Christian Benteke.
(Dembele 16, Son 19, Kane 48, Janssen 90+2) Bournemouth 0
(Cabaye 54, Benteke 70) Leicester 2
(Huth 6, Vardy 52)
(Jagielka 49, Mee 71-og, Lukaku 74) Burnley 1
Southampton 0 Man City 3
(Kompany 55, Sane 77, Aguero 80)
(Arnautovic 6, Crouch 66, Shaqiri 80) Hull 1
(Khazri 26, Borini 90) West Ham 2
(Ayew 5, Collins 47)
(Capoue 42) Swansea 0
P W D L GD Pts
31 24 3 4 40 75
32 21 8 3 46 71
32 19 7 6 28 64
32 18 9 5 28 63
33 16 9 8 23 57
30 15 12 3 22 57