The invention discloses a 5G independent networking terminal registration method and system, a terminal and a storage medium, and the method comprises the steps: when a 5G network is registered, if a network end does not support VORR and EPS fallback, after the network end refuses to register the 5G network, 4G network registration is initiated in LTE; when the data service is initiated, a 5G network registration request is re-initiated to the network end, the registration request carries priority information, and PDN connection is initiated to the network end; and after the data service is finished, initiating a 4G network registration request in the LTE again, and switching the 5G network to the 4G network to perform the voice service. According to the invention, after the 5G independent networking registration of the terminal is rejected, when the data service exists, the registration request is initiated on the 5G network again, so that the problems that the terminal can only reside in the 4G network, and the terminal cannot reside in the 5G network, so that the 5G data service cannot be acquired and the 5G high-speed internet cannot be enjoyed are solved, the terminal can preferentially access the 5G NR network, and the user experience is improved. Therefore, the terminal can use the data service of the 5G network.