Abstract
In the present paper, we introduce the concept of neutrosophic implicative N-ideal in BCK-algebras, and investigate several properties. Also, we provide characterizations of the neutrosophic implicative N-ideal. Furthermore, we discuss relations between neutrosophic positive implicative N-ideal, neutrosophic commutative N-ideal and neutrosophic implicative N-ideal. Finally, we characterize implicative BCK-algebra by using neutrosophic implicative N-ideal.