The invention discloses a tilted layered viscoelasticity dielectric medium wave field forward modelling method. The method aims at viscoelasticity layered medium, wherein a geologic model of the viscoelasticity layered medium is provided with a tilted interface, a spherical wave stimulated by a point source is decomposed into a plane wave, a character that vector wave equation does not rely on a coordinate system is utilized, under a fixed coordinate system and a moving coordinate system which changes along with the tilted interface, spreading of waves is alternately discussed, firstly, reflection and transmission coefficients of the plane wave of a single tilted interface are deduced through traditional reflection and transmission coefficients, reflection and transmission waves of the interface are obtained, then the reflection and transmission coefficients of the plane wave when passing through multiple tilted interfaces are obtained by recurrence, and finally plane waves after transmitted are combined to obtain a point source excitation wave field. In the process of combination, a rapid oscillatory integral calculation method and an integral path which is suitable for viscoelasticity medium are adopted.