Using kinetic microindentation, we have studied the strength and elastic characteristics of partially stabilized zirconia (PSZ) crystals. The results demonstrate that the mechanical properties of the crystals depend on yttria stabilizer concentration. Additional doping with ceria leads to an increase in the kinetic hardness, kinetic Young’s modulus, and plasticity of the crystals, thus improving their mechanical characteristics. The PSZ crystals have high plasticity for nonmetallic materials.