They won 2-1 with a brace from Marcos Alonso.
Hugely disappointing for Mauricio Pochettino’s side who are playing their home matches at the national stadium this season as White Hart Lane undergoes renovation.
They thought they had a point when Michy Batshuayi headed Christian Eriksen’s cross into his own net on 82 minutes.
But Chelsea found a late winner to get them up and running in the Premier League.
Barely deserved – the shot goes under Hugo Lloris who definitely should have saved it – as Spurs were dominant. Yet Harry Kane still can’t score goals in August. Remarkable.
Different season but the same old Arsenal – can’t beat bogie side Stoke City.
The Gunners went down 1-0 in the bear pit that is the BET365 Stadium.
Former Real Madrid winger Jese Rodriguez got the goal 90 seconds into the second half, put in by Saido Berahino, and the home side hung on from there.
In truth, Arsenal did not have many chances.
Alexandre Lacazette rifled in but was adjudged marginally offside.
But Stoke were dogged and unusually Arsenal were struggling to create
A very disappointing day for the Londoners, just the sort of game they need to win if they are to challenge for glory.
Not that the Stoke crowd cared – they cheered their team’s every kick and howled derision on Arsenal’s every mistake.
Manchester United smashed a poor Swansea City 4-0 away.
Eric Bailly give United a 1-0 lead at half time, but took their time to seal it.
Romelu Lukaku made it two in the 80th minute, Paul Pogba added a third and substitute Anthony Martial fired in low to give United a second 4-0 win from their first two matches of the campaign.
Manager Jose Mourinho has never failed to win the league title in his second season at a club and already looks to be on target.
Liverpool will be exultant at getting three points and a clean sheet at Anfield.
Sadio Mane did the business as Crystal Palace suffered a second straight defeat.
Jurgen Klopp’s side were heading for a frustrating draw after wasting a string of chances when Mane prodded past Wayne Hennessey for his second league goal of the campaign.
Liverpool battered the Palace defence with 16 shots – half of them on target – but for once could not extend their lead.