Ca-3(Nb0.9Ga0.09Cr0.01)(1.875)Ga3O12 (CNGG : Cr3+) single crystals have been grown by Czochralski method in the nitrogen with little oxygen. Laser-induced broad band fluorescence from the crystal was observed in the region 770 nm under the excitation of argon ion laser 488 nm at room temperature. No obvious thermal quenching of fluorescence was observed from 77 to 289 K. No laser action is observed in this crystal mainly due to the formation of color center under the pump of laser diode 680 nm. And the laser-induced color center occurs also in the crystal when excited by 488 nm laser and can disappear by itself after a few hours. Persistent color centers were formed during the growth and the oxidation annealing.