To improve the wide range performance of the conventional waverider layout， a variable Mach number waverider design approach based on the three-dimensional shock wave is proposed. Its essence is to combine the local-turning osculating cones method with the concept of “variable Mach number”. The design Mach number differs within each stream surface so as to achieve the goal of taking into account various flight states for wide-speed flight. In the proposed approach， the required three-dimensional shock shape is directly specified by Bezier surface， which makes the selection of shock shape more flexible. The numerical results demonstrate that the proposed variable Mach number waverider possesses a better comprehensive performance on the wide-speed range. The changing law of the design Mach number significantly affects the performance of the variable Mach number waverider. Under the same conditions， the new proposed variable Mach number waverider designed within the range of Mach 7 to 12 owns a larger volume and higher lift-to-drag ratio than the osculating cone variable Mach number waverider， but the volume efficiency declines.