The present invention is a wireless media access method on a wireless network synchronized by a synchronizing signal broadcasted from a coordinator. In the method, priority is assigned to a plurality of devices interconnected over the wireless network for securing wireless resources in accordance with application characteristics of a packet to be transmitted, and if the devices request communication, dividing at least one slot within a superframe into a plurality of minislots. Minislots are then allocated to the devices, respectively, according to the priority, and information about the allocated minislots is inserted into the synchronizing signal. The information is then broadcast, thereby allowing each of the devices with the allocated minislots to exclusively use the allocated minislot for data communication.