In recent decades, various technological systems have been developed for the seismic protection of buildings, aiming to mitigate damage and improve safety in buildings during strong ground motion. The most used systems are fluid viscous dampers, viscoelastic dampers, and friction dampers, which provide supplemental energy dissipation, reducing displacements and accelerations during an earthquake. However, these devices present certain drawbacks, such as the need for periodic maintenance and the possible degradation of their materials over time. Recently, some studies have highlighted the advantages of a new damper that avoids the drawbacks of conventional dampers. This new system, called the eddy current damper (ECD), provides energy dissipation through the interaction of magnetic elements and conductive materials such as aluminum. ECD technology is based on the generation of induced currents in the conductive material, producing damping forces without direct mechanical contact, thus eliminating wear and the need for frequent maintenance. This research evaluates the performance of an ECD in reducing displacements and accelerations of multi-degree-of-freedom systems. In this regard, the equations of motion for structural systems with and without ECD were formulated and solved using numerical methods. Additionally, hysteresis diagrams were determined, showing the levels of force and displacement of the ECD, providing an analysis of its behavior under cyclic loads. For the numerical study, conventional configurations for the installation of these devices were considered. A comparative analysis of buildings with and without ECD was carried out, demonstrating that the ECD is effective in the reduction of seismic response. According to the results, the ECD control system shows 82% efficiency in reduction during the Northridge earthquake.