Let S ∗ ( ρ , γ ) denote the class of strongly starlike functions of order ρ and type γ and let C ( ρ , γ ) be the class of strongly convex functions of order ρ and type γ . By making use of an integral operator defined by Jung et al. (1993), we introduce two novel families of strongly starlike functions S β α ( ρ , γ ) and C β α ( ρ , γ ) . Some properties of these classes are discussed.