A liquid crystal display and a method for fixing a circuit board thereof are provided in the present invention. The liquid crystal display includes: a back plate having a back plate body, at least one elastic piece disposed at the back plate body, the elastic piece including at least one supporting portion; a circuit board having a grounding area, the circuit board located on the outside of the back plate body, and the grounding area contacting with the supporting portion of the elastic piece; a liquid crystal display panel electrically connected with the circuit board; and a plastic housing having a plurality of sidewalls and a top wall, the circuit board located on the inside of the sidewall, the sidewall having at least one hook, and the hook engaged with the elastic piece for elastically clipping and fixing the circuit board. The present invention has advantages of few parts, simple structure and convenient for assembly.