A method of performing beam failure recovery (BFR) procedure in primary cell and secondary cells with reduced UE complexity is proposed. A UE is configured to operate in one or multiple frequency bands under carrier aggregation or dual connectivity. The UE performs beam failure recovery (BFR) procedure on one serving cell for one frequency band across FR1 and FR2. The serving cell is an active serving cell including both primary cell (PCell) and secondary cells (SCells). Specifically, for SCell BFR procedure, a sharing factor K is introduced when multiple SCells are configured to perform BFR procedure. In one embodiment, the SCell BFR evaluation period equals to a predefined PCell BFR evaluation period times the sharing factor K.