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Element r ∈R is called a regular element of ring R if there exist s ∈R such that rsr = r. Ring R is called vn (von-
Neumann)-regular ring if every element is regular. Recall that for any ring R always can be considered as module over itself, then
for module over ring R it can be generalizing to vn-regular module concept using the fact a ∈R is regular element if and only if
aR = a2R. Let M be a module over a ring R, then a ∈R is called M-vn regular if aM = a2M. Using the fact, it is defined vn-regular
module as follows: Let M be a module over ring R, M is called vn-regular module if every m ∈M, Rm = aM for some element
M-vn regular a in R. Furthermore, it will be investigated the properties on vn-regular ring which still can be apply to vn-regular
module