The invention relates to an SM2 (streaming multiprocessor 2) digital signature generating algorithm realizing method and device. The method includes calculating an SM2 digital signature generating algorithm by coordination of a CPU (central processing unit) and a GPU (graphics processing unit), pre-calculating elliptical curve dots in the SM2 digital signature generating algorithm in the GPU to obtain a result and storing the result in a storage unit, pre-calculating one-added inverse calculation of a user private key in the CPU to obtain a result and storing the result in the storage unit, calling the results obtained by pre-calculation and stored in the storage unit when the CPU calculates a to-be-signed message sequence according to the SM2 digital signature generating algorithm calculating step. Accordingly, digital signature calculation time for to-be-signed messages is shortened, and calculation efficiency of the SM2 digital signature generating algorithm is improved. Further, the CPU can perform one-added inverse calculation on different private keys and store results in the storage unit, and calculation efficiency is further improved.