The spectral performance of a self-Raman-active material (Nd:SrMoO4 crystal) was investigated. Its stimulated Raman scattering (SRS), absorption spectra, luminescence lifetime, and infrared emission under 808 nm LD excitation were measured at room temperature. All vibration modes in the SRS spectra were identified. The most intense vibration is Ag (898 cm-1) mode, which is assigned to fully symmetric extension vibrations of the (MoO2-4) group. Optical parameters were calculated from absorption spectra with Judd-Ofelt (J-O) theory. The integrated emission cross-section and spontaneous emission probability corresponding to 1068 nm emission are 0.57×10-18 cm2 and 141.06 s-1， respectively. The lifetime of the 1068 nm emission was measured to be 0.2 ms. Considering the infrared luminescence excited by 808 nm LD, the possibility of obtaining 1180 nm first-Stokes component relevant to the 1068 nm emission is demonstrated. These conclusions can be our guidance to develop high-efficiency new-wavelength self-excited Raman lasers.