"This is such a great race, what can I say? I feel a lot of emotion," said Froome after finishing the 21st leg of the competition.
"Of course it was a very, very difficult Tour, both on the bike and off it. I'm so happy to be here in yellow.
"There were a few difficulties, a few extra stresses outside of the race but that's cycling in 2015."
Froome has faced accusations of cheating since his last victory at the Grand Boucle two years ago, and complained that a spectator had thrown urine on him while shouting "dope" during the 14th stage of this year's race.
His victory comes as doping accusations have cast a shadow over the sport of cycling, particularly after Lance Armstrong, who won the Tour de France a record seven times, was stripped of his titles after a long-running scandal.
The British press toasted Froome's victory nonetheless in the Monday editions, with tabloid The Sun sporting the headline "I'm no cheat: Froome victory dig", while the Telegraph chose "Believe in me".
Val says I just cannot understand it, surely the doping techniques now are so strict it would be impossible to cheat. Or do I have faith in him because he is a Brit, and we do not cheat?
Just realised Malc and I have been covering the same stories this morning, oops!
Just realised Malc and I have been covering the same stories this morning, oops!
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