updated 03/24/2013 AT 11:00 AM ET
•originally published 03/24/2013 AT 9:00 PM ET
It’s full-speed ahead for Jesse James and Alexis DeJoria, who tied the knot on Sunday in Malibu, PEOPLE has learned.
With James’s youngest daughter, Sunny, 9, and DeJoria’s daughter Bella, 10, acting as flower girls, the custom motorcycle-builder, 43, exchanged vows with DeJoria, a pro-drag racer and daughter to entrepreneur John Paul DeJoria.
The couple, who got engaged late last year, married at the Malibu home of DeJoria’s father, co-founder of the Paul Mitchell hair care products line and Patron Spirits Company. They exchanged rings designed by jeweler designer Neil Lane.