In this paper, Nd:GGG single crystal was grown by Cz method. Fluorescence spectra and absorption spectra was measured after the Nd:GGG single crystal was cut and polished. The main absorption peak of Nd:GGG crystal is 808 nm and fluorescence-emission peak is 9430 cm-1, which correspond to 4F3/2-4I11/2 emission band of Nd3+ ions. At the same time, absorption intensity become stronger with the increasing of Nd3+ ions concentration.