The present disclosure discloses a method for processing a trunking communication service. The method includes the following steps that: a user equipment receives a trunking communication service request message sent by a trunking core network device, the trunking communication service request message including a service type identifier (101); and the user equipment determines whether to receive the trunking communication service according to the service type identifier (102). The present disclosure also discloses another method for processing a trunking communication service, core network device, user equipment and a storage medium.