Full waveform inversion is mainly used to obtain high resolution velocity models of subsurface． The size of full waveform inversion will lead to a gigantic computation cost． Under the available computer resource and the limitation of full waveform inversion，the authors propose L-BFGS algorithm as the optimization method to solve this problem． In order to demonstrate the flexibility of the method，three different numerical experiments have been done to analyze the properties of full waveform inversion based on L-BFGS．