There are various approaches to transfer the prime ideal notion to prime submodule. The definition of primeness in modules have appeared in many ways. In this paper we define endo-prime submodules and show that this definition and prime submodules introduced by Sanh et al. [8] are coincide. Moreover, we also present the endo-prime radical and its properties. Then we apply our results to the endo-multiplication modules, i.e. a multiplication module over its ring endomorphisms.Mathematics Subject Classification: 16D50, 16D70, 16D80