Cesium-133 NMR spectra of a single crystal of tetragonal $Cs^+ (15-crown-5)_2I^-$ were obtained as a function of crystal orientation in an applied magnetic field of 9.40T and analyzed to provide the magnitudes and orientations of the $^{133}Cs$ chemical shift and quadrupolar tensors for two magnetically nonequivalent and symmetry related sites. Chemical shift tensor components and parameters of quadrupolar interactions are obtained as ${delta}_{11}=46(1),;{delta}_{22}=60(1),;{delta}_{33}=-30(1)$ ppm, quadrupole coupling constant QCC = 581(1) kHz, and asymmetry parameter ${eta}$ = 0.481(1), respectively. The nonaxially symmetric NMR parameters imply that the local environment of the cesium nuclei is nonaxially symmetric. The DANTE experiment burned holes in the $^{133}Cs$ NMR line of the title compound. The hole burning of the single crystal and powder $^{133}Cs$ NMR lines showed that the NMR lines are not homogeneously broadened.