Kane headed home from Christian Eriksen's corner in the 89th minute to make up for two glaring misses earlier in the match at Selhurst Park.
A round-up of Tuesday's action in the Premier League.
Everton striker Romelu Lukaku struck a late equaliser to salvage a 1-1 draw against a solid CrystalPalace side in an absorbing Premier League match at Goodison Park on Monday.
Crystal Palace heaped more misery on Liverpool when they came from behind to win 3-1 in the Premier League on Sunday, six months after effectively ending the northern club's title hopes when they drew 3-3.
A round-up of Saturday's action in the Premier League.
Passport Ready? 4 Cheapest Destinations From Bengaluru, Delhi, Kolkata, Chennai & Mumbai
Crystal Palace manager Neil Warnock has mischievously blamed the club's Selhurst Park stadium announcer for his team's extra time 3-2 League Cup defeat by Newcastle United on Wednesday.
Liverpool's Salah named Premier League player of the season, Gravenberch best youngster
Images from the English Premier League match played between Arsenal and Crystal Palace on Monday
IMAGES from the English Premier League matches played on Sunday
Liverpool's James Milner's converted a penalty on the stroke of half-time and Sadio Mane added a late second goal to secure a hard-fought 2-0 victory at Crystal Palace in the Premier League on Monday.
Crystal Palace left Manchester City's hopes of retaining their Premier League crown in tatters after a 2-1 win at Selhurst Park on Monday to leave Manuel Pellegrini's side trailing a distant fourth in the title race.
Chelsea will look to make amends after being runners-up to Leicester City and Arsenal in the last two seasons
The commanding scoreline in the cross-town London derby came despite Chelsea's midfield talisman Cole Palmer being ruled out after he felt discomfort on the pitch during the pre-match warmup.
A round-up of Saturday's action in the Premier League.
Liverpool lost the plot in Atalanta defeat, says Klopp
Liverpool booked their berth in the League Cup semi-finals with a 2-1 victory over Southampton
Crystal Palace set up a repeat of the 1990 FA Cup final against Manchester United after Yannick Bolasie and Connor Wickham securd a 2-1 victory over Watford at Wembley on Sunday.
Soucek noticed the danger and stopped celebrating, holding up the hoarding so the terrified child could wriggle out, with Bowen, who had been on Soucek's back, pulling him through his teammate's legs to safety.
With Crystal Palace dangerously close to being relegated, manager Patrick Vieira was sacked after 20 months in charge.
'We knew it was going to be hard to play against them, but I give all the praise to the lads for the hard work.'
Images from Sunday's action in the Premier League.
IMAGES from the Premier League matches played across England on Sunday.
Crystal Palace captain Mile Jedinak was charged with violent conduct by the English FA on Monday for an apparent elbow to the head of West Ham United's Diafra Sakho.
IMAGES from the English Premier League match played at Selhurst Park in London on Monday
Fulham manager Martin Jol hailed Pajtim Kasami's stunning volley against CrystalPalace on Monday as better than fellow Dutchman Marco van Basten's classic in the Euro 1988 final.
Ivan Toney, once Brentford's lynchpin in attack, has moved to Al-Ahli for 40 million pounds ($52.50 million).
Arsenal's title hopes hit with 2-0 loss to Villa as Man City get boost
Former Crystal Palace owner and chairman Ron Noades died at the age of 76 following a year-long battle with lung cancer.
Arne Slot is the first to win the top flight in England where many of his compatriots have suffered dents to their reputations over the years.
Watford and Crystal Palace continued to inch towards Premier League safety after a scrappy goalless draw at Vicarage Road on Saturday that means the home side have taken just two points from a possible 21.
Brighton & Hove Albion substitute Jack Hinshelwood struck a late winner as the hosts came from behind to grab a 3-2 victory over champions Liverpool.
Riddhima Kapoor Sahni's Delhi home is Grand. Luxurious. Opulent. And Green.
Veteran striker Kevin Phillips scored an extra-time penalty as Crystal Palace ended an eight-year Premier League absence by beating Watford 1-0 in the Championship (second tier) playoff final at Wembley on Monday.
Winning back-to-back titles for the first time since 1984 is likely to prove a rather more arduous challenge for Liverpool.
Chelsea put all their struggles away and looked like a renewed squad, stamping their class over Crystal Palace in their English Premier League match at the Selhurst Park on Sunday.
Liverpool forward Sadio Mane scored his 100th goal for the club to help secure a 3-0 victory over lively Crystal Palace in the Premier League at Anfield on Saturday.
Newcastle's worries deepened as they now remain at 19th in the table.
Aston Villa striker Marcus Rashford scored twice in a 3-0 defeat of second-tier Preston North End in their FA Cup quarter-final at Deepdale on Sunday to earn a Wembley semi-final against fellow Premier League team Crystal Palace.
Liverpool's Dominik Szoboszlai struck the first telling blow in the Premier League title race with a dazzling free kick late on giving his side a 1-0 victory over rivals Arsenal.
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