The development of electric vertical take-off and landing aircraft (eVTOL) is expected to provide a new mode of transportation and effectively alleviate traffic congestion in large cities. Vertiports are necessary landing and take-off facilities for eVTOL. The selection of the appropriate locations for vertiports is highly important for the development of urban air mobility (UAM). In this study, a systematic vertiport location method is constructed to facilitate UAM development. First, the UAM demand is evaluated considering the differences in UAM services. The demand is divided into on-demand mobility (ODM) demand and regular shuttle (RS) demand, which are separately evaluated with a discrete choice model. Then, the multidimensional polygon intersection point set (MPIPS) is deployed to determine the potential vertiport location. To improve the demand coverage of travel and decrease traffic congestion and redundant demand coverage, a multiobjective multistage facility maximum coverage location model is developed for vertiports. The nondominated sorting genetic algorithm, version 3 (NSGA-III), with three location strategies, namely, step-by-step, forward prioritization, and balanced development, is proposed to solve the model. Data from Beijing are used to validate the proposed model. The results indicate that the balanced development algorithm achieves the best performance, with an 84.4 % coverage rate of the RS demand and a 44.4 % coverage rate of the ODM demand. Constructing vertiports in high travel demand areas can significantly improve ODM and RS demand coverage and the ability to alleviate traffic congestion but inevitably leads to facility redundancy. However, constructing vertiports in high GDP areas would only marginally increase ODM demand coverage and have a negative effect on other metrics. Moreover, constructing vertiports in inaccessible areas can improve ODM demand coverage and decrease facility redundancy but reduces the ability to alleviate traffic congestion at facilities. These findings can improve the application of eVTOL, alleviate traffic congestion, reduce wasted construction resources, and optimize synergistic capabilities within the UAM system.