The potential energy surfaces of 24Mg are studied within the adiabatic and diabatic constrained relativistic mean field approaches. The possible ring-like states are searched by analyzing the density distribution. It is found that in 24Mg the ring-like states are energetically favored at the extreme oblate condition |β2| ≥ 1.54 and a ring-like minimum is obtained with excitation energy Ex = 49.42 MeV and quadrupole deformation β2 = −0.93.