The invention discloses a construction method of an anchorage anchoring system. The construction method comprises the following steps of (1) constructing a well cover of a sinking well; (2) pouring concrete in a step area of an anchor beam bracket layer by layer; (3) installing the anchor beam bracket; (4) installing an anchor beam and an anchor rod bracket; (5) installing anchor rods and pouringanchor block concrete layers one by one; (6) continuing anchor block construction. According to the construction method, a mixed anchoring bracket system is formed, and a construction mode of installing the anchor rods during pouring is adopted at the same time. According to the method, the mixed anchoring bracket system is formed, the rigidity of the anchoring bracket is enhanced correspondingly,the cumulative deformation effect is eliminated, repeated operation caused by deformation of the bracket is effectively prevented, the construction efficiency is improved, the use amount of section steel is reduced, and the input cost is reduced.