The aim of the final paper is to define and present testamentary succession in the Croatian legal system. The inheritance procedure is a non-litigious procedure that will be initiated after the death of a natural person, after the court receives the testator's death certificate or an equivalent document. In the process of inheritance, the heirs, inheritance and rights that belong to a certain heir or other persons are determined. The heirs at the hearing make a statement of inheritance, accepting the inheritance, renouncing the inheritance or ceding the accepted inheritance to another heir. Once given the declaration of inheritance is irrevocable. If the heir renounces the inheritance, his share is distributed to the other heirs in equal parts, and if there is no heir of the same hereditary order, the inheritance is assigned to the heirs of the next degree. The heir to the inheritance can also renounce the inheritance only in his own name, allowing his own heirs - usually children - to accept the inheritance from the testator. If an heir wishes to assign his share to another, designated heir, he should first accept the inheritance and then assign it to another heir. If the heir does not make a declaration of inheritance, he is considered to want to be the heir. The heir who accepted the inheritance will be liable for the testator's debts up to the value of the inheritance. If the parties in the inheritance procedure become disputable facts that determine some of their rights, the court will order the parties to resolve the matter in litigation or administrative proceedings. In litigation, the party whose right the court deems more probable is referred.