In this paper we introduce a new subclass Mp(n, α, c) of analytic and multivalent functions in the unit disk which includes the class Sp(n, α) of multivalent starlike functions of order α and the class Tp(n, α) of multivalent convex functions of order α . Using generalized Bernardi Libera integral operator and H ölder's inequality, some interesting properties of convolution for the class Mp(n, α, c) are considered [ABSTRACT FROM AUTHOR]