A method performed by a User Equipment (UE) is provided. The method includes performing at least one Beam Failure Recovery (BFR) procedure. The at least one BFR procedure includes transmitting a Medium Access Control (MAC) Control Element (CE) for BFR to a base station, where the MAC CE for BFR includes a cell information field indicating information of a serving cell in which the BFR procedure is triggered, and a presence indicator field indicating whether an identity of a preferred Reference Signal (RS) for BFR is included in the MAC CE for BFR. The preferred RS is associated with the serving cell.