The invention discloses a locally uncombined suspension bridge steel-concrete combined bridge deck system and a construction method of the combined bridge deck system, and belongs to the technical field of bridge structures. The bridge deck system consists of concrete slabs, longitudinal steel beams, cross steel beams, air nozzles and toggle pin connectors; and a suspension bridge section steel-concrete combined bridge deck system is prefabricated in a factory. The prefabricated concrete slabs and section steel main beams form a whole through concrete wet joints and the toggle pin connectors. The prefabricated concrete slabs and cast-in-place concrete joints are only connected with the cross steel beams to form a whole through the toggle pin connectors, the longitudinal steel beams are not provided with the toggle pin connectors, and meanwhile, the toggle pin connectors are not arranged in a certain area of the ends of the cross steel beams at hoisting points. The problems of cracking, complex structures of toothed grooves at the slab ends of the prefabricated concrete slabs and the like due to the factors of temperature, contraction, creep and the like of the concrete slabs of the traditional suspension bridge combined bridge deck system are solved by adopting a locally uncombined technology on the premise of keeping the consumption of steel, the manufacturing process of the prefabricated slabs is simplified, the bearing capacity, the rigidity and the cracking resistance of the structure are improved, and the durability of the structure is improved.