A current control circuit and a bias generator including the current control circuit are provided. The bias generator may include a current mirror circuit configured to generate one of a first current and a second current based on a reference current; a switch circuit configured to transfer one of the first current and the second current to a variable resistor; an operational amplifier including a first input node connected to the switch circuit, a second input node that receives a reference voltage, and an output node that outputs a bias voltage; and the variable resistor connected between the first input node and the output node of the operational amplifier. By switching operation of the switch circuit, a direction in which the first current flows in the variable resistor may be different from a direction in which the second current flows in the variable resistor.