The invention provides a method of preventing galleries in a high concrete dam from arching and preventing a bottom plate from cracking. The method comprises the steps that Step 1, the allowable tensile strength and a time-dependent process of the allowable tensile strength are determined; Step 2, the stress distribution and the yield region distribution of the gallery parts of the dam, and time-dependent rules of the stress distribution and the yield region distribution are acquired; Step 3, the ranges and depths of gallery arching and bottom plate concrete tensile stress, exceeding the allowable tensile strength, are acquired. Step 4, the position, depth and width of a prefabricated seam are determined; Step 5, the prefabricated seams are distributed, the stress distribution, the yield region distribution, and the time-dependent rules of the stress distribution and the yield region distribution after the prefabricated seams of the galleries parts of the dam are prefabricated are acquired; Step 6, whether an area exceeding the concrete allowable tensile strength exist is determined; and Step 7, the form of the final prefabricated seam is determined. Through the layout of the longitudinal prefabricated seams of the galleries, the cracking of the gallery concrete is avoided, and the working behavior of the dam is improved.