Abstract: Under the goals of carbon emission peak and carbon neutrality, the analysis of spatial-temporal distribution rules of travel and charging demand of electric vehicles（EVs）is foundational for the coordinated operation of the traffic and power systems.However, few existing studies can systematically describe the spatial-temporal distribution mechanism of private EVs and their charging demand. Starting from the source of travel demand, firstly, the relevance between travel and charging behaviors of EV users is analyzed in a multi-modal transportation system. Secondly, considering the bounded-rationality decision-making behaviors and the heterogeneity of travelers, a tolerance-based dynamic activity-travel assignment（DATA）model is established to depict the spatial-temporal evolution mechanism of EVs and their charging demand. Finally, the case analysis is carried out based on the route-swapping algorithm. The results show that the proposed model can describe the spatial-temporal distribution rules of EVs and their charging demand. Moreover, the charging price, initial state of charge, and the existence of other travel modes have a significant influence on the spatial-temporal evolution rules of charging demand.