During recent years, increasing consideration has been given to the compressible inclusion function of EPS geofoam, which makes this cellular geosynthetic an ideal material for reducing the static and seismic lateral earth pressures against rigid non-yielding retaining structures. Although the behavior of EPS geofoam under monotonic loading conditions has been extensively studied using laboratory triaxial compression tests, little research has been done until present on the cyclic stress–strain behavior of this material that is essential for optimizing and improving the seismic buffer function of EPS geofoam in geotechnical earthquake engineering applications. In this context, the present paper summarizes the results of a laboratory study based on stress-controlled cyclic uniaxial tests on EPS samples with various initial (static) deviator stresses. The experimental results indicate a somewhat different dynamic response of geofoam compared to the currently published relationships obtained from strain-controlled cyclic tests. Data from stress-controlled cyclic uniaxial tests show a logarithmic decrease in the damping ratio of EPS geofoam with increasing axial strain amplitude. Furthermore, for cyclic axial strain amplitudes greater than about 0.87–1.0%, the material exhibited a visco-elasto-plastic behavior associated with the occurrence of permanent plastic strains at the end of the cyclic tests.