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We propose a hybrid scheme for computations of incompressible two-phase flows.The incompressible constraint has been replaced by a pressure Poisson-like equation and then the pressure is updated by the modified marker and cell method.Meanwhile,the moment equations in the incompressible Navier-Stokes equations are solved by our semidiscrete Hermite central-upwind scheme,and the interface between the two fluids is considered to be continuous and is described implicitly as the 0.5 level set of a smooth function being a smeared out Heaviside function.It is here named the hybrid scheme.Some numerical experiments are successfully carried out,which verify the desired efficiency and accuracy of our hybrid scheme.