How am I able to get full custody of my child

It's difficult to answer this question without more information. For example, the court would want to know whether the hitting incident was a one-time matter or whether it happened a lot. Was the child ever hurt? Is your husband in counseling?  Courts assume going in that children are best served by having a healthy relationship with both parents, so long as they are safe. Parents don't have to be perfect to have this assumption apply to them - just basically competent. If your daughter is likely to suffer abuse in his care, you'll have a stronger case to keep her away from him. If he only strikes out under certain controllable circumstances, then the court can limit his exposure to those safe circumstances. The court is unlikely to cut off all contact unless he cannot possibly be controlled at all, and/or if any exposure to her father is likely to harm your daughter. You have the right to argue all this to the court yourself, but given the complex nature of this sort of case, you may wish to seek legal counsel from an experienced Family Law attorney.