Abstract: According to the Mechanistic - Empirical design method for flexible pavements, their response to statically applied traffic loads is usually determined by computer analysis. However, the analysis of the layered elastic and isotropic pavement model often requires numerous iterations. Since this process involves the numerical computation of many complex integrals, the total computational cost becomes significant. Moreover, features such as cross-anisotropy in the layers and viscoelastic behavior in the top asphaltic layer are typically not considered. The simplified analysis method proposed by Odemark, which utilizes explicit algebraic expressions for the half-space response and the concept of equivalent thickness, enables the analysis of layered elastic and isotropic flexible pavements not only via very fast computer programs but also through rapid hand calculations. In this work, the method of Odemark is considerably improved by incorporating the effects of cross-anisotropy in the elastic layers and viscoelasticity in the top asphalt concrete layer in an approximate manner, preserving its very low computational cost and feasibility for very fast manual calculations. Simple and approximate response expressions for the cross - anisotropic case were primarily obtained from the existing literature. The viscoelastic effect was approximately taken into account by determining an equivalent elastic modulus with the aid of the equivalent loading frequency concept. Numerical examples are presented in detail to illustrate the improved Odemark's method and demonstrate its acceptable accuracy and very low computational cost, with comparisons against results from other well-established dynamic methods of high accuracy.