Page "New York divorce law" Paragraph 31

# Child Visitation-the parent who does not have physical custody has either: a ) reasonable rights of visitation, b ) a specified visitation schedule, or c ) is limited to supervised visitation.

Only in very rare cases may the non-custodial parent be denied visitation.

Usually, this is for very specific reasons such as severe substance abuse, history of domestic violence or lack of interest in the child.