The present invention relates to an orthogonal resource block hopping multiplexing(ORBHM) method and apparatus in a wired/wireless communication system in which a plurality of communication channels coexist in a single medium.The orthogonal resource block hopping multiplexing (ORBHM) communication system consists of a first communication station and a plurality of second communication stations. It uses a hopping sequence of basic orthogonal resource blocks for transmission from a first communication station to a second communication station. A basic orthogonal resource block is a part of the given orthogonal resource and orthogonal to another basic orthogonal resource block. The ORBHM uses a statistical multiplexing concept in multiplexing and transmitting messages to a plurality of second communication station by assigning basic orthogonal resource blocks every time slot in a hopping manner based on hopping patterns determined at the initial setup stage of a call or a session. The ORBHM apparatus is implemented by adding a hopping pattern generator for selecting basic orthogonal resource blocks used to transmit data to respective second communication stations for each time slot, a collision detector and controller for detecting collisions among hopping patterns, and a memory block for temporarily storing data to be transmitted later to the conventional system. If the ORBHM apparatus detect a collision, it selects one station among all the colliding second communication stations and enables data transmission. The remaining stations are requested to store data in the memory block and to delay the transmission in subsequent time slots. The ORBHM apparatus can accommodate a larger number of users by achieving a large statistical multiplexing gain, compared with conventional communication systems.