In this work, based on the generalized derivative operator Km l1,l2 (a1,...,a r ;b1,...,b s ) f (z) and by making use of the notion of subordination, two new subclasses of functions are derived. With regards to these two subclasses, some properties are discussed briefly. f (z) = z + n=å¥an zn; z Î (U = {z Î C :| z |< 1}) n=2