The problem of robust stabilization of a class of linear time-varying systems with disturbance and uncertain parameters is considered. The bounds of the disturbance and uncertain parameters are assumed to be unknown. For such uncertain dynamical systems, a class of linear continuous adaptive robust state feedback controllers are proposed. It is shown that the resulting closed-loop systems are stable in the sense of uniform ultimate houndedness. A numerical example is given to demonstrate the synthesis procedure for the proposed adaptive stabilizing state feedback controller.