The invention discloses a construction method for additionally forming periphery auxiliary holes in the periphery of a vertical shaft periphery hole. The construction method includes the following steps that (1), after the periphery hole is drilled through an umbrella drill, the periphery auxiliary holes are drilled, and the hole depth is 1500 mm; (2), explosives are loaded into the periphery auxiliary holes and the periphery hole at the same time, and the number of blasting cap sections of the periphery hole is seven, and the number of blasting cap sections of the periphery auxiliary holes is nine; (3), the periphery auxiliary holes are detonated after the periphery hole is detonated. The construction method has the advantages that six YT-28 type air drills are used for drilling the periphery auxiliary holes after the periphery hole is drilled through the umbrella drill, and therefore drilling time is not prolonged; shaft wall over-excavation and under-excavation are effectively avoided, cap retaining is avoided after the periphery hole is detonated, and therefore waste rock removing, net hanging and anchoring and shotcreting time is shortened; the costs for wind, water, electricity, manpower, sprayed concrete and other materials are lowered, supporting quality at the initial stage is improved, and large-section-height construction safety is guaranteed; detonation efficiency is improved, construction progress is accelerated, and good economical and technical effects are achieved.