Howe returned to Dean Court in October and has guided the Cherries to the npower Championship for the first time since 1990.
It is the second promotion Howe has had with the club after leading them to League One in 2010.
Goals from Steve Cook, Harry Arter and Brett Pitman were enough for Bournemouth to see off Carlisle and secure a club record eighth successive win.
Howe said: "It means everything. You can see the reaction of the fans and what it means to the town. It has had a huge impact on me and the players.
"I watched the club as a 10-year-old and used to come to games regularly. To even play a small part in the history of the club means so much. I am a Bournemouth fan and have always had a special relationship with the club."
With Doncaster losing, the victory catapulted the south-coast side to the top of the division and former Burnley boss Howe wants to finish the job.
He said: "The title is something we want without a doubt. We are top at the moment and that is my immediate focus. We will go for it. I want to win the league.
"The players may be celebrating now short term, but we will quickly get them back on the horse. We want the title against our names and will make sure they will be prepared and focused."
Carlisle boss Greg Abbott said: "I thought we played well, but it was Bournemouth's day."
- Sports & Recreation