A handover method and apparatus in a digital multimedia broadcasting (DMB) system that transmits/receives broadcast data through a frame group using different frequencies. A handover method includes receiving a first frame group header at a serving frequency, and receiving a burst of the desired service at the serving frequency according to a burst arrival time; calculating a first relative start time of a next frame group header; turning power off until a current time arrives at a next header arrival time; receiving a second frame group header at a searching frequency, and acquiring service information of the searching frequency necessary for handover to the searching frequency; returning to the serving frequency and turning the power off; and comparing signal power/quality of the listened frequencies with each other to select a best frequency, and switching to the selected frequency using the acquired corresponding service information.