Avril Lavigne and Chad Kroeger have splashed out $5.4 million on new home in Los Angeles.

The couple, who recently celebrated their second wedding anniversary following rumours their relationship was on the rocks last year, have reportedly bought a lavish French-style property in a leafy part of Sherman Oaks.

The 7,888-square-foot family-sized mansion, situated on half an acre of land, features six bedrooms, seven and a half bathrooms, a gym, basketball court, outdoor kitchen and a gourmet eat-in kitchen with three dishwashers.

It also boasts vaulted ceilings, a number of hand-carved fireplaces, four Juliet balconies, a dramatic double stair case, an ivy-covered outdoor terrace and an over-sized swimming pool, according to Variety.com.

The couple have spent most of their time living in their native Canada since getting married in the South of France in July 2013.

'Hello Kitty' hitmaker Avril, 30, was diagnosed with Lyme Disease last October and recently praised her rocker husband for being ''supportive'' throughout her health issues.

The Nickelback frontman, 40, also admitted he was relieved when she went public with the news following months of speculation their marriage was in crisis.

He said: ''I'm like, 'OK, the wife has come out and said this, and now I don't have to keep hiding.'

''With everyone going 'What's wrong with your wife? What's wrong with your wife?' and me just going, 'Ah, she's gonna be fine.'

''I'm like 'OK, I can talk about this now.'

''Things are looking up and definitely getting better.''