The rotational Zeeman effect of the J->J' = 0->l, K = 0 transition has been investigated for CH3 81 Br and SiH3 81 Br under high resolution. The shielding constant for the 81 Br-nucleus in these molecules has been determined from the spectra and is compared to the values calculated from the spin-rotation coupling constants. The sign of the electric dipole moment in SiHßBr is shown to be ®H3SiBr e . From the Zeeman effect of two K #= 0 transitions of SiHaBr, gy is determined to be negative for SiHaBr, in contrast to CHjBr, where gy is positive.