Jesse James and Alexis DeJoria
03/24/2013 AT 09:00 PM EDT
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.
James recently relaunched WestCoastChoppers.com
, opening a WCC custom motorcycle shop in Austin, Texas, where he lives with DeJoria, who drives Patron Nitro Funny car on the drag race circuit.
This is a fourth marriage for James, who got divorced from Sandra Bullock
in June, 2010. In September, 2011, James broke off his engagement to Kat Von D