The invention relates to a method for constructing a bridge, in particular to the method for constructing a road swivel bridge and a railway swivel bridge by using a turnplate spherical hinge, which aims to solve the problems of the complex process, inconvenient construction, high requirements on construction sites, and the like of the conventional swivel bridge construction. The method specifically comprises the following steps of: machining the turnplate spherical hinge; constructing a lower pile cap and mounting a lower spherical hinge and an endless track, wherein the concrete of the lower pile cap is poured in three stages; constructing an upper pile cap and mounting an upper spherical hinge and a support steel cylinder; and after the upper pile cap and the lower pile cap are swiveled in place under the action of the turnplate spherical hinge, pouring rear sealed concrete between the upper pile cap and the lower pile cap. The method has the advantages of the capacity of changing overhead barrier operation into operation on the coast or near the ground, safe and reliable construction, simple and convenient operation, fast implementation and construction cost reduction, is suitable for both straight bridges and curved bridges, and compared with the conventional construction methods, also has the advantages of shortening construction period, saving a part of big constructionmachinery and labor force and greatly saving construction cost.