Methods and apparatuses for triggering a beam state information report by a user equipment in a wireless communication system are disclosed herein. In one method, a user equipment measures multiple beam reference signals of non-serving beams from a cell and derives multiple values from measurements. The UE derives a first value, wherein the first value is a highest value, a lowest value, or an average value of the multiple values. The UE triggers to report a measurement result for a beam reference signal if at least one condition is satisfied, wherein the condition is based on comparing the first value to a threshold.