Within the space of five second-half minutes, Lloris mistakes had gifted goals to Leroy Sane and Kevin De Bruyne, the Belgium international scoring his first City goal in 14 games in the simplest manner.
But the visitors' first piece of attacking incision halved the deficit, Kyle Walker latching onto a loose ball and whipping a stunning cross that allowed Alli the simple task of nodding home from inside the six-yard box.
Lloris subsequently launched a counter-attack and Kane - just offside - touched Christian Eriksen's pass into our Head and Shoulders Super Player Son Heung-min and the South Korean finished with unerring cool.
Mauricio Pochettino praised the spirit and character of his side to battle back and earn a point, but accepted City had caused a lot of problems for Tottenham, particularly in the first half.
“To be honest they were better in the first half and they deserve more but it's football," Pochettino told BT Sport.
"It was difficult for us in the first half, we conceded a lot of chances.
"In the second half we were a little bit better and we had more energy but conceded two goals. It was important to show character and personality.
“To show all of our character at 2-0 down against City is difficult but we believe and it is a massive point for us.”
A point for Spurs extends their unbeaten league run to seven matches and for now they remain Chelsea's nearest challengers in second, although they will be leap-frogged by Arsenal if the Gunners beat Burnley at home on Sunday.