The aim of this final paper was to define Jacobson radical, as one of the ideal examples, and to study its properties and applications. In the first part of the paper some basic concepts, such as the radical properties were defined, and the Wedderburn’s process of radicals was mentioned. Furthermore, several definitions were introduced before the definition of the Jacobson radical. In the second part of the paper, some of the statements and their proofs were presented, where the relationships between the elements in the rings and the ideals were studied, and thus some of the properties of the Jacobson radical were provided. For easier understanding of the statements, they were covered by examples.