In order to solve the problem of parking space allocation and pricing in shared parking space management, considered the influence of price changes on users' choice of different parking duration was, the probability of users' choice of parking duration under different parking charging standards was analyzed, and a refined price elasticity function of shared parking demand by polynomial fitting was obtained. Furthermore, in order to realize the dynamic adjustment of parking lot price and parking space allocation, a MINLP (mixed integer nonlinear programming) model of parking space allocation based on elastic demand and dynamic pricing was constructed with the goal of maximizing platform revenue and minimizing user walking distance, and a genetic algorithm was designed. Finally, this paper designs an example that includes 3 parking lots with a total of 1 000 berths, and the operation time of the shared platform is 3 h, and verifies the model and algorithm. Through comparative analysis, compared with static pricing, the shared berth allocation scheme based on elastic demand and dynamic pricing achieves a 19% increase in platform revenue and meets most parking demands, which shows the effectiveness of the shared berth allocation model and algorithm under dynamic pricing, and provides a new idea for parking management of the shared platform.