Making use of a convolution structure, we introduce a new class of analytic functions Tpg(λ, α, β,) defined in the open unit disc and investigate its various characteristics. Further we obtained distortion bounds, extreme points and radii of close-to-convexity, starlikeness and convexity for functions belonging to the class Tpg(λ, α, β,). ©2010 Department of Mathematics, University of Osijek.