In this paper, we present the new kind of MN-subalgebra for neutrosophic cubic set which is called neutrosophic cubic MN-subalgebra where M represents the initial of author’s first name Mohsin and N represents the initial of second author’s first name Neha. We investigate this neutrosophic cubic MN-subalgebra on BF-algebra through some significant properties of BF-algebra. We also use R-intersection, p-intersection, p-union upper bound, lower bound and some important characteristics to study the behaviour of neutrosophic cubic MN-subalgebra [NCMNSU] on BF-algebra.