Abstract: In this paper,fractal geometry theory is used to combine with the seepage flow mechanics to establish the relaxation models of non-Newtonian visco- elastic fluid flow in fractal reservoirs.A method to scale the fractal properties of a fractal reservoir by the double parameters (d_f,d_s) and to describe the generalized flow characteristics of visco-elastic fluid by four parameters (d_f,d_s,λ_t,λ_p) are presented.Exact solutions and asymptotic solutions have been obtained by usin g th e Laplace-Weber and Laplace-orthogonal transforms with both infinite and finite reservoirs.The pressure transient behavior of non-Newtonian visco-elastic fluid flow through a fractal reservoir are studied by using the numerical Laplace transform inversion and asymptotic solutions.The law of pressure change for various fractal parameters is obtained.