Court papers filed by Baldwin allege that in 2005, the Academy Award-winning actress ignored court orders by not letting her ex-husband know she would be out of town working so that he could take care of their 10-year-old daughter until she returned.
On one occasion, Basinger also did not tell Baldwin their daughter, Ireland, was injured and required medical help, according to the court papers. The girl's injuries were not specified.
Basinger's attorney entered the pleas Wednesday on her behalf to 12 misdemeanor counts of criminal contempt. The Academy Award-winning actress faces up to 60 days in jail and a $12,000 fine if convicted of all counts.
Superior Court Commissioner Maren E. Nelson set a tentative Jan. 15 date for the trial.
Basinger's attorney, Neal R. Hersh, waived her right to be present during the trial. Baldwin, who lives in New York, will be among the witnesses at the bench trial, said his attorney, Vicki Greene.
Baldwin, 48, and Basinger, 52, separated in 2000 after seven years of marriage. The visitation issue had originally been resolved in March 2004, with the two agreeing to share custody.
Basinger won an Oscar for 1997's "L.A. Confidential." Baldwin was nominated for an Oscar for 2003's "The Cooler."