A refresh circuit and a semiconductor memory device including the refresh circuit are disclosed. The refresh circuit includes a mode register, a refresh controller and a multiplexer circuit. The mode register generates a mode register signal having information relating to a memory bank on which a refresh operation is to be performed. The refresh controller generates a self-refresh active command and a self-refresh address based on a self-refresh command and an oscillation signal. The multiplexer circuit may include a plurality of multiplexers. Each of the multiplexers selects one of an active command and the self-refresh active command in response to bits of the mode register signal. Each of the multiplexers generates a row active signal based on the selected command, and selects one of an external address and the self-refresh address to generate a row address.