A method, performed by a User Equipment (UE), for a Beam Failure Recovery (BFR) procedure includes receiving, from a Base Station (BS), a BFR configuration for a serving cell of the BS, wherein the BFR configuration includes a threshold for a Beam Failure Instance (BFI) counter associated with the serving cell, and the threshold is associated with a beamFailureInstanceMaxCount information element (IE); incrementing a value of the BFI counter based on a Beam Failure Detection (BFD); triggering the BFR procedure for the serving cell when the value of the BFI counter is equal to or higher than the threshold; performing Band Width Part (BWP) switching for the serving cell when receiving a reconfiguration indication from the BS, wherein the reconfiguration indication includes a BWP index; and setting the value of the BFI counter to zero when performing the BWP switching.