Wave-field extrapolation has implemented through a various numerical methods such as finite difference method as the most popular and conventional method. Moreover, main drawbacks of finite difference method are the low level of accuracy and numerical dispersion for large time intervals (∆t). On the other hand, the symplectic integrators due to their structure can cope with this problem and act more accurate than finite difference method. They reduce the computation cost and do not face with numerical dispersion when time interval increased. Therefore, the aim of the current paper is to present a symplectic integrator for wave-field extrapolation using the Euler method. Then, the extrapolation implements for rather large time intervals using a simple geological model. The extrapolation employ for the both symplectic Euler and finite difference methods which shows a better quality image for proposed method. Finally the accuracy was compared to finite difference method.