sole custody

Definition from Nolo’s Plain-English Law Dictionary

A custody arrangement under which one parent is the only one to have either legal or physical custody or both. A parent with sole physical custody has the right to live with the child, while the other parent has visitiation rights. A parent with sole legal custody has the right to make all decisions affecting the child, including decisions about education, religion, and medical care.

Definition provided by Nolo’s Plain-English Law Dictionary.