Howe returned to Dean Court in October and has guided the Cherries to the 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.
"This is a big moment. I never thought we would see this day. The club was on the brink of going out of the football league only a few years ago. They were dark days. I'm a Bournemouth fan and have always had a special relationship with the club.
"I thought Carlisle played very well and when they equalised that spurred us on to the end of the game where I thought we were excellent.
"To win back to back games is incredibly difficult but to win eight in a row is amazing."
Howe added: "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."