The Blues secured a first league title since 2009/10 with a 1-0 win over Crystal Palace at Stamford Bridge.
Mourinho's side needed three points to claim the trophy with three games to spare and Eden Hazard headed in the rebound after missing a first-half penalty.
Mourinho's 21st trophy of his prolific career was the Capital One Cup win at Wembley in March - the first of his second spell at Stamford Bridge - and now the Portuguese has a third Premier League title and Chelsea's fourth in 11 seasons.
Mourinho said: "I will try (for) another one
I will try always.
"The day I don't feel that passion to try to do it again, that's enough
I don't feel that day is arriving.
"When you work so hard and you are champions you feel that you got what you deserve
That good feeling.
"For me, maybe (a) special feeling, because I'm not the smartest guy to choose countries and clubs.
"I could choose another club in another country where to be champion is easier
I choose the most difficult league in Europe.
"I risk
I'm so, so happy, because I won another Premier League title, 10 years, or eight or nine years later, in my second spell."
Mourinho added: "Today was not a game to enjoy
Today was the game to finish the job."
Mourinho has had a tough preparation for the game with illness to his father, who is recovering following surgery this week.
"When the game finished at Leicester (on Wednesday) I got immediately a private plane to go to Portugal and I was there with him for the most difficult moment (the operation)," Mourinho added.
"He's getting better
I'm much more relaxed."
Palace boss Alan Pardew felt unfortunate with the manner of defeat after a good performance by his side
Pardew felt the penalty award was "questionable" and that his players might have had their own spot-kick when John Terry blocked a Jason Puncheon shot.
"I do feel a little bit hard done by," Pardew said.
"I asked the referee at half-time
The referee said it was an 'absolute definite penalty, Alan
I don't know what you're asking for'.
"It was a bad piece of luck, really
It was kind of questionable.
"Then they get another break when he misses it and it goes straight to him.
"We also felt that Punch's shot is blocked by John Terry's body and hand
It could've been a penalty for that
(But) it's not about us today."
Chelsea squeezed Palace into submission in the second half to see out victory.
"That's what champions do - they don't let you back in when they take the lead," Pardew added.
"That's why they continue to do the job in each game they come to
They've had two defeats this year, that says it all.
"They've obviously done the job
Sometimes fantasy and flair goes out the window to do the job to win.
That's why this guy (Mourinho) earns the money he earns, because he wins and he wins trophies."
Chelsea were forced into a late change before kick-off, with Brazil midfielder Ramires dropping out to be replaced by Juan Cuadrado
Mourinho said: "Ramires went to the hospital he was feeling so bad."
Source : PA
Source: PA