This paper is the continuation of the work started in the paper titled “Refined Neutrosophic Rings I”. In the present paper, we study refined neutrosophic ideals and refined neutrosophic homomorphisms along their elementary properties. It is shown that if R = Z(I1, I2) is a refined neutrosophic ring of integers and J = nZ(I1, I2) is a refined neutrosophic ideal of R, then R/J Zn(I1, I2).