Embodiments of the present disclosure provide methods for transmitting an uplink signal and a downlink signal. A method for transmitting an uplink signal comprises detecting whether there is a beam failure; if there is a beam failure, determining at least one of whether there is a candidate downlink transmission beam(s) or candidate downlink transmission beam information; and transmitting a beam failure recovery request message to a base station, the beam failure recovery request message being used for informing the base station of at least one of whether there is a candidate downlink transmission beam(s) or candidate downlink transmission beam information. A method for transmitting a downlink signal comprises detecting a beam failure recovery request message, determining at least one of whether there is a candidate downlink transmission beam(s) or candidate downlink transmission beam information in the UE; and transmitting a feedback message corresponding to the beam failure recovery request message.