The energy levels,spectroscopic characteristics of Y3Ga5O12:Cr3+ crystal grown by flux method are reported. At room temperature, the effective fluorescence lifetime of 4T2,2E levels was measured to be 205μs with the central wavelength of the fluorescence spectrum of 727nm. The crystal-field energy levels, were calculated according to Tanabe-Sugano theory. The crystal field strength parameter Dq, racah paramater B,C,parameter A were calculated to be 1626, 645, 2950,538 cm-1, respectively.