This work presents the development of numerical procedures for static and dynamic sequential analysis of earth dams during the main phases of their life: construction, reservoir filling and seismic loading. The numerical modeling is performed using the finite element method with material modulus that exhibit either stress state (static analysis) or strain state (dynamic analysis) dependency. General behavior characteristics of earth dams subjected to static and dynamic loads are initially presented. The main factors influencing the static and dynamic responses are also indicated e briefly discussed.Mathematical formulations and the numerical algorithms considered in the development of a computer code specially written for this research, such as interface elements, infinite elements, viscous boundaries, etc., are fully described with several illustrative examples to validate their application. The prediction of both static and dynamic responses of the Recreta Dam, in Peru, is also carried out considering the available seismic records of the Lima earthquake, occurred in 1974. The computed numerical results indicate that the computer program is reliable, efficient and potentially useful for other geotechnical applications.