The Sky Blues didn't let any self doubt hinder them at Wembley Stadium and showed the quality that has propelled them to the top of the Premier League.
City blew the chance to seal the Premier title by losing 3-2 at home to local rivals Manchester United last weekend, and were then dumped out the Champions League at the quarter-final stage 5-1 on aggregate by Liverpool in midweek.
Despite completely dominating the first-half, there were some nervy moments as Tottenham got back into the match until Raheem Sterling scored City's decisive third.
City missed the services of midfielder Fernandinho, who begun his two-game match ban after accumulating ten yellow cards.
But they wasted no time in shutting up their critics and were 2-0 up by just the 25th minute as they cruised to a 3-1 win which ended Spurs' record of 14 games unbeaten.
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All Spurs could muster by way of a response was a stoppage-time drive from Lucas Moura as the hosts were left to come to terms with their first league defeat since December 16.
Spurs came out to try and get themselves back in the game but City held on to pick the three points.
Despite their defeat against Manchester City, Spurs still look likely to qualify for next season's Champions League, being seven points clear of fifth-placed Chelsea in the Premier League.
"But today was a hard game". United's injuries might well push Alexis Sanchez into a bigger role and the -120 on its minus-1.5 goals line is good value. "Sometimes it goes for you, but we have to accept this is the game". "[Tottenham] didn't have a game for a week and that's the advantage they had, but the mental toughness of this team is unbelievable".
Manchester United (-475) had some starters nicked-up during the recent worldwide break, but it has won its last four home matchups, while Swansea City (+1300, draw +500) has generated little offense on the road all season.
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"We're nearly there, we knew we had to win two of six games", De Bruyne said. "One of the best but to win titles in every league is important".
Sterling - who won the first-half spot kick despite replays showing Lloris' rash lunge made contact with him fractionally outside the box - was frustrated by passing up opportunities as his did in the Manchester derby, despite eventually scoring his 17th league goal of the season.
"These guys are fantastic and awesome", Guardiola said.
"It's incredible the way we played and I am so glad to be here and be part of this club".
I will have to watch it again on TV, but the referee can make a mistake like the first half where we made a mistake, so I am not going to complain.
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"As much as this has been a record breaking season, this one's for you, the fans, this is why we do it!" said the skipper.