In papers filed in Los Angeles Superior Court on March 17, Sambora asks for joint physical and legal custody of the estranged couple's daughter, Ava Elizabeth, and requests the pair's premarital agreement be enforced.
Sambora also asked the court to give up its right to order him to pay spousal support to Locklear.
Attorneys for Locklear, 44, and Sambora, 46, declined to comment on the matter Friday.
Locklear filed for divorce Feb. 2, citing irreconcilable differences. The two have been separated since Dec. 26, according to the divorce filing.
Locklear gained fame in 1981 as sexy Sammy Jo Dean Carrington on the TV series "Dynasty."
In the 1990s, she took on the role of cold-hearted Amanda Woodward on TV's "Melrose Place" and played mayoral love interest Caitlin Moore on "Spin City."
She was previously married to Motley Crue drummer Tommy Lee.