The singer, 22, and her husband, Sum 41 frontman Deryck Whibley, 27, bought the Bel-Air home for about $9.5 million, the Los Angeles Times reports.
The house was previously owned by another famous couple: Travis Barker and Shanna Moakler, a rep for Barker confirms to PEOPLE. The pair put it on the block in July 2006 after filming their MTV reality show, Meet the Barkers, there.
Perhaps it was the home's rock 'n roll credentials that won over Lavigne. "She had to have it," says real estate broker Arnold Horland, whose wife Eva and her partner Robin Lucas at Re/Max Olson sold the house to the singer.
According to the Times, the three-story, 12,000-square-foot Tuscan-style gated home has eight bedrooms and 10½ bathrooms. On an acre of land, it also boasts an elevator, an office, a high-tech kitchen , a 10-car garage, a steam shower, a sauna, a pool and a spa.
Lavigne's third album, The Best Damn Thing, is due out April 17, and she's scheduled to be the musical guest on Saturday Night Live next weekend.
She and Whibley wed in July 2006. "We have a really good, strong relationship," she told Jane in March. "There's a lot of trust."