In this paper, an integral-type sliding mode controller design for generalized projective synchronization of two horizontalplatform systems (HPS) is considered. The concept of extend systems is used such that continuous control input isobtained using a sliding mode design scheme. Based on the Lyapunov stability theorem, control laws are derived. It is guar-anteed that under the proposed control law, an uncertain slave chaotic HPS can asymptotically track a master chaoticHPS. The converging speed of error states can be arbitrarily set by assigning the corresponding dynamics to the slidingsurfaces. Numerical simulations are shown to verify the results and this control law can be applied to another chaoticsystem of the same design scheme