High resolution Fourier transform infrared spectra of the stretching fundamental (1000A(1)/F-2) as well as the first (2000A(1)/F-2) and second (3000A(1)/F-2) stretching vibrational overtones of monoisotopic deuterated stannane, (SnD4)-Sn-120, were measured using a Bruker 120 HR interferometer. The symmetric top K structure of a prolate symmetric rotor was observed in the second stretching vibrational overtone, which indicates that localization of vibration has occurred and the dynamic symmetry of the molecule has changed. Rotational analyses of the spectra were performed, and the local mode relations obtained confirm that vibrational energy localization takes place in the second stretching vibrational overtone of deuterated stannane. The results indicate a surprisingly similar behavior of deuterated stannane and normal stannane.