This work explains the development of a viscous damping model using the condensed tangent stiffness of the structure. It eliminates the spurious damping forces and avoids the high levels of damping presented by the condensed damping model defined with the initial properties. Additionally, this article elucidates some of the problems of the existing condensed models and compares them with Rayleigh or total initial stiffness proportional damping. The proposed damping model and the existing models are compared using a reinforced concrete frame subjected to a ground motion, where the main arguments to justify the newly proposed damping model are highlighted.