The former Spice Girl, whose real name is Melanie Brown, cited irreconcilable differences for her breakup from producer Stephen Belafonte.
Her petition was filed Monday in Los Angeles Superior Court.
seeking joint custody.
Brown and Belafonte married in July 2007.
She listed Dec. 28 as the date they separated. Brown, who is a judge on America's Got Talent, is asking a judge to deny spousal support to Belafonte.