A single inductor multiple LED string driver comprises a switch control circuit and a current-sensing control circuit. The switch control circuit generates a plurality of digital control signals that are used to control a plurality of switches coupled to a plurality of strings of LEDs. Each switch is selectively turned on and off by each corresponding digital control signal. The current-sensing control circuit determines an integrated charge amount provided by each current that flows from an input voltage through each LED string, through each switch, through a common inductor, and through a main switch to ground. In response to the determined integrated charge amount, the current-sensing control circuit generates an on-time control signal that controls the on-time of each switch such that the average current flowing across each LED string is equal to each other. Furthermore, the total current flowing across each LED string is regulated to a predefined value.