If my husband was violent during our marriage, how are his child custody and visitation rights decided?

Alaskan law creates a rebuttable presumption against awarding joint or sole physical or legal custody to a parent with a history of committing domestic violence against the divorce spouse.  A parent is considered to have a history of perpetrating domestic abuse if the court determines that the parent has engaged in more than one incident of domestic violence or the parent caused serious physical harm. 

The violent spouse can overcome this presumption if a preponderance of the evidence shows that he or she does not engage in substance abuse and has successfully completed an intervention program for batterers.   For a spouse with a history of perpetrating domestic abuse, Alaskan law does not allow unsupervised visitation unless he or she establishes by a preponderance of the evidence that he or she does not pose a danger of harm to the child, was not abusing alcohol or drugs, had completed a substance abuse treatment program, and unsupervised visitation was in the child's best interests.