The invention discloses an LED backlight driving circuit. The LED backlight driving circuit comprises a boosting circuit, a current control module, a driving chip, a current detection module, a control signal module and a frequency adjusting module, wherein the boosting circuit is used for converting an input voltage into a required output voltage and providing the output voltage for an LED string light, the current control module is connected to the negative end of the LED string light and used for adjusting the working current of the LED string light, the driving chip is used for providing a first square-wave signal for the boosting circuit and providing a second square-wave signal for the current control module, the current detection module is used for detecting the working current of the LED string light and generating a detection signal, the control signal module receives the detection signal generated by the current detection module and generates a control signal, the frequency adjusting module receives the control signal generated by the control signal module and generates a resistance value according to the control signal, the frequency adjusting module is further connected to the driving chip, and the driving chip adjusts the driving frequency of the backlight driving circuit according to the resistance value. The invention further discloses a liquid crystal display with the backlight driving circuit.