For many years, telecommunication specialists are working on ways to improve service capacity of cellular networks. Since the radio frequency spectrum allocated for cellular network is limited, it is important to manage this scarce resource carefully in order to meet the ever-growing demand. This paper reviews channel assignment schemes for mobile cellular network. The paper provides a survey of a large number of channel assignment strategies that have been proposed by many researchers over the years. These channel assignment strategies are categorised into four groups. The characteristics and methods for evaluating these channel assignment schemes are also presented.