A method and apparatus of allocating downlink power in a radio access station system are disclosed. The method of allocating transmission power to a plurality of terminals in a radio access station system according to the present invention includes (A-1) calculating an allocation power for the respective terminals based on downlink quality information of the respective terminals; (A-2) calculating a minimum requirement power for the respective terminals based on the downlink quality information; and (A-3) allocating the transmission power by distributing part of excess power of a first terminal group having the allocation power higher than the minimum requirement power to the second terminal group having the allocation power lower than the minimum requirement power, and the part of excess power is a sum of insufficient power of the second terminal group. As a result, the loss of the quantity of service transmission of the radio access station is reduced and service areas can be expanded.