With the hope of obtaining information about the canted spin structure which has been proposed by Nakagawa et al. on the basis of their neutron diffraction study, the Mn55 NMR frequency has been measured as a function of external magnetic field. A value of (—1.03±0.03) MHz/kOe has been obtained for dν/dH at 77°K. This value seems to suggest that β1MnZn has a simple ferromagnetic spin structure, if it is not the case that the hyperfine field at the Mn55 nucleus lies accidentally along the ferromagnetic component due to the effects of the neighboring Mn moments. The results of the observation of the Zn67 NMR is appended. The hyperfine field at the Zn67 nucleus is —270. kOe at 4.2°K. © 1969, THE PHYSICAL SOCIETY OF JAPAN. All rights reserved.