Disclosed herein are a wireless battery management system (BMS) and a battery pack including the same. The wireless BMS includes a plurality of slave BMSs installed and coupled to a plurality of battery modules of the battery pack in one-to-one correspondence, and a master BMS configured to wirelessly transmit a trigger signal to the plurality of slave BMSs for identification (ID) allocation to each of the plurality of slave BMSs. Each slave BMS is configured to generate a response signal including a respective allocated temporary ID in response to the trigger signal, and wirelessly transmit the response signal to the master BMS. For each given slave BMS, the master BMS is configured to receive the response signal from of the given slave BMS, and determine a formal ID to be allocated to the given BMS based on a received signal strength of the response signal.