The invention relates to a construction process for installing an elastic slippage shock isolation support. The construction process comprises the following steps of: preparing construction, locating and unwinding, binding a reinforcing steel bar under the support, reserving a secondary pouring concrete construction line under a shock isolation support embedded plate, building a dabbing-free template, pouring and maintaining the concrete, locating and unwinding, clearing up a concrete base layer, installing and fixing a lower embedded plate, contracting and compensating the pouring and the maintenance of the concrete, detecting the position of the lower embedded plate of the support and preventing corrosion, installing the shock isolation support and an upper embedded steel plate, installing a temporary protective facility of the support, installing an upper component template of the support and binding the reinforcing steel bar, pouring and maintaining the concrete of the upper structure, dismantling the temperature, installing a permanent protective facility of the support, and checking and accepting the support. By the construction process, the key technology for installing construction of the elastic slippage shock isolation support is provided, the installing quality is guaranteed, the shock isolation technology can be popularized in high-intensity shock-proof protective areas, the project cost is reduced, the structural safety performance is enhanced, and the social and economic benefits are remarkable.