This paper considers output feedback robust model predictive control for the quasi-linear parametervarying (quasi-LPV) system with bounded disturbance. The so-called quasi-LPV means that the varyingparameters of the linear system are known at the current time, but unknown in the future. The controllaw is parameterized as a parameter-dependent dynamic output feedback, and the closed-loop stabilityis specified by the notion of quadratic boundedness. An iterative algorithm is proposed for the on-linesynthesis of the control law via convex optimization. A numerical example is given to illustrate theeffectiveness of the controller.