Abstract: It is difficult to image the geological structure with strong lateral variation and steep dip. On the basis of the Arbitrarily Wide-Angle Wave Equation(AWWE),we implemented migration with finite difference high-split scheme in frequency-space domain. Optimization of the velocity parameters is a key factor in the accuracy of imaging. The test of impulse response clears that the low order AWWE can be adapted to higher steep dips by optimization of the parameters. The pre-stack migration of Marmousi data shows that the method can handle strong lateral variation and steep dip.