West Ham climbed up to fifth as goals from Angelo Ogbonna and Jarrod Bowen sank Aston Villa 2-1.
The Hammers have made their best start to a season since they moved to the London Stadium four years ago.
They rode their luck, though, as Villa equalised once through Jack Grealish and had the chance to snatch a point, only for Ollie Watkins to miss a penalty.
And in stoppage time Watkins had the ball in the net only for an ‘armpit offside’ to come to West Ham’s rescue.
David Moyes’ side held on to climb above Manchester City, Manchester United, Villa, Everton, Wolves and Southampton in the table.
They took the lead with less than two minutes on the clock after forcing a corner when Tomas Soucek’s shot was deflected behind by Matt Targett.
Bowen swung in the cross and Italian centre-half Ogbonna was unmarked at the far post to nod in his first goal of the season.
Much had been made of the return of Michail Antonio to West Ham’s attack but it seems Moyes has goals from all over the pitch – their last nine had been scored by nine different players.
Villa had started sluggishly but gradually came to life and Ezri Konsa headed over before Conor Hourihane tested Lukasz Fabianski with a free-kick.
With Antonio having little impact Moyes replaced him with Sebastien Haller and also sent on Said Benrahma at half-time.
And within 30 seconds Benrahma, the £30million signing from Brentford, crossed for Bowen to head West Ham into a 2-1 lead.
Things were turning niggly on the pitch and tensions were simmering off it, with Villa boss Dean Smith and Hammers coach Kevin Nolan constantly chipping away at each other.
Pablo Fornals was booked for a kick at Grealish before Villa assistant John Terry and a member of West Ham’s backroom staff were also shown yellow cards.
They should have equalised moments later after Declan Rice was adjudged to have tugged Trezeguet’s shirt in the area.
Trezeguet left the field with a nasty cut above the eye, a result of landing on Rice’s studs as he threw himself to the ground, but a nervous looking Watkins lifted his spot-kick against the crossbar.
Villa thought they had rescued a point when Watkins tapped in Targett’s cross in stoppage time, but VAR decided otherwise and West Ham held out for a third straight win.