The couple, who split last year, have reached a divorce settlement, according to TMZ.com.
Though papers filed Wednesday do not specify the terms of custody, TMZ reports that the couple will share joint custody of their 3-year-old son, Max.
Aguilera has been dating Matt Rutler since last November.
Aguilera, 30, and Bratman, 33, wed in California's Napa Valley in November 2005, after becoming engaged in Carmel, Calif., in February of that year.
Their divorce will be final in April.