Kane's landmark goal came in the 15th minute against City, when he latched on to Pierre-Emile Hojbjerg's pass to fire home at the first attempt into the bottom corner.
Kane has also reached the landmark in the quickest time in Premier League history.
His 200th goal came in his 304th appearance, two fewer than it took Shearer, while Rooney's came in his 462nd match.
Furthermore, Kane is now Spurs' all-time top scorer with 267 goals, one more than the total record of Jimmy Greaves.
Read more: Oracle breaks down Kane's 200 goals
Kane is eight goals behind Rooney and 60 goals away from joining Shearer as the leading Premier League goalscorer of all time.
With 16 matches remaining for him this season, Kane will have his sights set on surpassing Rooney's record.
And at just 29, Kane, who will be presented with an Oracle Milestone to mark his achievement, has time on his side in his pursuit of Shearer.
As he said: "To be there now is just exciting, and I’ve got plenty of years left so hopefully there are a few more to come."
Part 1: Kane scores 200th PL goal as Spurs defeat Man City
Part 3: Harry Kane's best Premier League goals
Part 4: Sherwood - Kane has not finished yet
Part 5: Kane - 200th Premier League goal is a 'magical moment'
Part 6: Sherwood: Eriksen was a massive influence on Kane
Part 7: Shearer - Kane will break my all-time record
Part 8: Kane 200: Amazing stats you need to know
Part 9: Who is the best: Kane, Shearer or Rooney?