The invention discloses a combined shock-insulation support of a high-rise building. The support comprises an upper connecting plate, a lower connecting plate, a base plate, standard laminated rubber shock-insulation support bodies, a moving lever, a fixed lever, rubber pads, a limiting plate, tensile adjusting bolts, a returning positioning pin, a positioning ball, a positioning ball support, a limiting and positioning column and a resisting arm. According to the support, problems that the shock-insulation support is inadequate in tensile strength, poor in shock-insulation effect and weak in wind load resistance in the high-rise building are solved; problems that the excessively large displacement can be produced by low damping and the low damping can not overcome the wind load are solved; and the influence of the earthquake force is used, the instability of the positioning ball is exerted, and a shock-insulation self-starting device is designed, so that the support is simple, practical and reliable in performance.