The full waveform inversion(FWI) method makes use of the kinematic and dynamic information of pre-stack seismic data to rebuild underground geophysical parameters.Due to its high resolution,it has the potential of revealing structure details and lithology characteristic under complex geological background.We present some methodological and algorithmic developments of 3D acoustic full waveform inversion by frequency-domain inversion combined with time-domain forward.The FWI algorithm relies on a pseudoconservative form of the velocity-stress acoustic wave equation.The numerical simulation data of 3D SEG/EAGE target model verified 3Dacoustic full waveform inversion algorithm.