ZnCH3 and CdCH3 radicals have been prepared in a cold supersonic free jet expansion and their laser-induced-fluorescence spectrum recorded for the A 2E <-- X 2A1 electronic transition. These spectra show well resolved rotational and spin structure, which has been completely analyzed. This analysis yields the rotational constants and the components of the spin-rotation tensors in the A and X states of both radicals. The observed constants are discussed in terms of the electronic structure of the radicals. It is demonstrated that the upper F2 spin-orbit component of the A 2E state of CdCH3 is strongly perturbed by another, dissociative electronic state. This leads to some predissociation of the A 2E3/2 Component and a broadening of its lines. The rotational and fine structure in this state is also quite perturbed leading to an unusual, but still interpretable spectrum.