In GSM systems, radio frequencies are repeatedly used in order to efficiently use assignedrnfrequency bands. To expand the network capacity, one solution is to reuse the limited frequencyrnresources. Currently the 4x3 frequency reuse technologies for GSM network is in common usernhere in Addis Ababa. For this reuse model “4†indicates the number of Base Transceiver Stationsrn(BTSs) in the reuse clusters, and “3†indicates the number of cells (sectors) under each BTS. Asrnthe number of users increases from time to time, the number of cells increases. Thus, the searchrnspace which is the possible range where optimum solution is attained increases. Furthermore,rnattaining optimum frequencies under each cell is challenging task.rnThis thesis presents group frequency assignment method for the frequency assignment problemrnin Addis Ababa using genetic algorithm technique. Without violating the 4x3 frequency reusernused currently, the optimization was performed in Addis Ababa with 933 DCS (DigitalrnCommunication) 1800 MHz bandwidth cells (sectors). With proper optimization five frequenciesrncan be used under each cell with a group of 24 cells and 125 generations or iterations using thernalgorithm. This assignment enhanced us to use two more frequencies under each cell than ethiorntelecom assignment which uses Mentum planet as optimization tool. And thus, capacity of thernsystem increased.rnKey words: Frequency Assignment Problem Optimization; Genetic Algorithm