Two-dimensional negatively charged donor centres D2- (i.e. the states formed by a neutral donor D0 binding two extra electrons) in a strong magnetic field with electrons confined to the spin-split zero Landau levels 0 down arrow , 0 up arrow are considered. When the admixture of higher Landau levels is neglected, the energies and eigenfunctions of the doublet S=1/2and quadruplet S=3/2 states are obtained. It is shown that both the doublet and the quadruplet D2- states, although localized, lie above the ground D- singlet and triplet states, respectively, i.e. have negative binding energies and, hence, are thermodynamically unstable against separation of an electron.