In part I of this study, we reported on the synthesis and mechanical properties of Mg alloy composites reinforced with TiC or Ti 2 AlC particles. In this, part II, we explore their damping as a function of the nature and volume fraction of the reinforcing particles and the matrix alloy composition. Using Mg alloys instead of pure Mg and reducing the reinforcement particle size reduced the damping capabilities of these composites. In all cases, a tradeoff was found between a composite's stiffness and its damping capabilityas measured by the area enclosed in its fully and spontaneously reversible cyclic compressive stress-strain curves. Low stiffness materials, such as pure Mg and its alloys, dissipated significant amounts of energy, but only at lower stresses. The TiC reinforced composites dissipated the least energy. However, by combining two solids, Mg or its alloys with Ti 2 AlC, that are both inherently damping, it is possible to dissipate roughly 25% of total applied mechanical energy, while simultaneously maintaining ultimate compressive stresses and stiffness values that were almost as good as those of the TiC reinforced composites. However, since below 200 MPa, Ti 2 AlC does not dissipate much energy, the difference between the two was only manifested at stresses > 200 MPa. When the interfaces were strong, cyclic hardening and no fatigue were observed; when the interfaces were weak, cyclic softening and fatigue were recorded. Most importantly, we show that the energy needed to extend or bow out the dislocationsthat are presumably strongly pinned and postulated to be the mechanism for energy dissipationis a linear function of the applied stresses for the end members -Mg and Ti 2 AlCand is even more pronounced for the composites.