The 'Real Housewives of Beverly Hills' star - who has Mason, nine, and six-year-old Jude with former husband Kelsey - lodged legal papers at the Los Angeles Superior Court less than one month after Kelsey made a similar filing, alleging his bid was made " in order to create a false impression to the media and to wrongfully disparage" her.
A source close to Camille told People: "She will continue to fight aggressively to keep her kids and keep her kids together. Kelsey's not been civil. [Camille] has tried to reach out without lawyers on multiple occasions and been rebuffed.
"Camille would love to have a relationship with Kelsey for the kids' sake [but it is impossible because] Kelsey will not communicate with her."
Last month Kelsey - who married 29-year-old Kayte Walsh in February - rejected his former spouse's custody offer of 50-50 care split between the two of them and demanded full physical custody.
Camille - a stay at home mother - admitted she was stunned at her ex-husband's demands, accusing Kelsey of being "insensitive to our children".