Gylfi Sigurdsson’s early penalty proved the difference between the two sides as Carlo Ancelotti’s Toffees picked up their first win this month.
Neither side created anything resembling an opportunity in opening quarter of an hour before Sigurdsson buried the game’s first meaningful chance.
Chelsea keeper Edouard Mendy fumbled a long ball from Jordan Pickford and in his rash attempts to reclaim possession he barged Dominic Calvert-Lewin over inside the box.
Referee Jon Moss had no hesitation pointing to the spot and Sigurdsson casually tucked home.
Lampard’s side did look to sting themselves back into action before the break as Pickford superbly tipped Reece James free kick against the post and Mason Mount curled over.
Ancelotti’s side did edge back into it after the restart as Richarlison forced a smart stop from Mendy.
But the hosts were to be left incensed on 64 minutes as VAR denied them a second spot kick.
Moss again pointed to the spot as Ben Chilwell dragged down Calvert-Lewin but our friends at Stockley Park dragged it all the back for offside against the England striker.
That meant Chelsea still had a chance to preserve their unbeaten run late on but Lampard knew his luck was out on Merseyside as Mount’s whipped free kick bounced back off the upright.
Full Time at Goodison Park it’s Everton 1 Chelsea 0