Let R be a commutative ring with 1 = 0, n be a positive integer and M be an R- module. In this paper, we introduce the concept of n-absorbing primary submodules generalising n-absorbing primary ideals of rings. A proper submodule N of an R-module M is called an n- absorbing primary submodule if whenever ... then either ... there are n -1 of the a, s whose product with m is in N. We have tried to prove some results on n-absorbing primary submodules.