The Padmakar-Ivan (PI) index of a graph G is defined as PI(G) = Sigma[n(eu) (e vertical bar G)+e(nv) (e vertical bar G)], where for edge e=(u,v) are n(eu) (e vertical bar G) is the number of edges of G lying closer to u than v, n(ev) (e vertical bar G)] is the number of edges of G lying closer to v than u and summation goes over all edges of G. In this paper we describe a method of computing PI index of some types of Y- Junction carbon nanotubes using orthogonal cuts.