Types of child custody agreements awarded by courts include physical custody, legal custody, sole custody and joint custody, according to FindLaw. The agreements define the level of support and access each parent has to the child.
Physical custody means one parent has the right to live with the child, although some states also award joint physical custody where the child is allowed to spend time with both parents. A legal custody agreement gives the parent a right to influence various decisions regarding the upbringing of the child, explains FindLaw. A sole custody agreement gives only one parent the right to live and influence the upbringing of the child. Joint custody entails having both parents share responsibilities toward raising the child even if the parents do not live together.