An LED backlight driving circuit includes a first and a second LED strings; a first and a second capacitors; a boosted circuit having an input connected to a power source and an output connected to the first and second capacitors and the first and second LED strings; an LED controller electrically connected to the boosted circuit so as to control, in a first period of an operation cycle, the boosted circuit to supply power to the first branch and to charge the first capacitor and also to supply power to the second branch and to charge the second capacitor; and in a second period, LED controllers controls the boosted circuit to cut off the first and second branches to make the first and second capacitors discharge to the first and second branches, respectively. Also provided is a liquid crystal display that includes the LED backlight driving circuit.