Summary: Let \(G\) be a group with identity \(e\). Let \(R\) be a \(G\)-graded commutative ring and \(M\) a graded \(R\)-module. In this paper, we introduce several results concerning graded classical prime submodules. For example, we give a characterization of graded classical prime submodules. Also, the relations between graded classical prime and graded prime submodules of \(M\) are studied.