Goals from Thiago Silva, N'Golo Kante and Antonio Rudiger buried Nuno Espirito Santo's side, who started well in the opening 45 minutes.
"I thought obviously Chelsea were excellent, we know what they're about now," Keane said on Sky after the final whistle.
"I couldn't believe how bad Spurs were. You can have an off day, sometimes you lose the quality, but the lack of desire.
"All of the goals, talk about wanting to put your body on the line.
"The game is 90 minutes long, 'Oh, they done well in the first half,' it doesn't matter.
"I'm including Harry Kane, Kane's body language today, his performance today Kane - oh my goodness.
"I'm pretty angry today watching Spurs there.
"The difference in terms of desire and wanting to win a football match. Tottenham players not doing the basics of a game of football.
"I'm talking about closing somebody down, putting your body on the line, that comes from desire, that comes from within.
"You can criticise maybe the coach and a lot of other stuff, but get to the ball, stop the shot, put your body on the line."
Graeme Souness said of Kane: "Right now he's playing in midfield.
"For me, he needs someone to point that out to him.
"You are a striker, get further up the field most of the time."
At which point Keane interrupted: "The manager should've dragged him off.
"He should've dragged him off.
"They're losing the game anyway, you put a marker down. Sometimes you have to lose to win.
"You've got to put a marker down to the player, 'You're not doing what I'm hoping for you to do, get him off.'"
Watching back Silva's headed opener, Keane simply reacted: "You see the ball go in there and it's, 'Who really wants to head this football?'
"And that's it."
Souness weighed in on Kante's second: "It sums Spurs up.
"Ball comes out, Giovani Lo Celso doesn't know where he is, loses possession cheaply, N'Golo Kante has too much time.
"One touch, another touch to get it out of his feet.
"This is what Pierre-Emile Hojbjerg should do - get out to the ball.
"Get out of the box and put the ball under pressure. These are basic things."
Keane added: "It's like when a boxer's on the ropes - you stay in the fight.
"You're gonna be under pressure against Chelsea, of course you are.
"International players - why aren't you going out and stopping the shot? There's no excuses. That was the danger.
"You stay in the fight. You stay in the fight by doing the basics. You learn that when you're five years old."
Not long after going in 0-0 at half-time, Spurs were 2-0 down.
"They're thinking, 'There's a long way back for us now,'" Keane said.
"Feeling sorry for themselves, 'Oh, we've been a bit unlucky, done alright in the first half.'
"Rubbish, rubbish! A games 90-odd minutes!"
Upon seeing the third goal again, which wrapped up the game in added time, Keane said: "Obviously the game was over, but it sums up what Tottenham are.
"It could've been six or seven if Chelsea really went for it.
"Another set piece, look at the intensity, look at Kane, like Alli.
"It's a lovely pull back and a lovely finish, but you can look at certain Tottenham players at this moment in time.
"Look at Kane, look at Alli - going through the motions, this is pretend closing down.
"Where is Kane going? It should've been six or seven."
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