An output peak power of over 1 kW for a Nd/Cr3+:YAG ceramic multi-stage active-amplifier system with white-light pumping was obtained. The output spectrum of pumping light used was close to that of solar light. Enhancement of saturated output laser power at high temperatures was observed owing to the phonon-assisted cross-relaxation effect. An output laser peak power of 1.6 kW were achieved at a ceramic disk temperature of 100 °C withoptical-optical conversion efficiency for volume of ceramicsthrough which laser passed was 63%. The laser system will be applicable to solar-pumped lasers.