A two-axes MEMS magnetometer includes, in one plane, a freestanding rectangular frame having inner walls and four torsion springs, wherein opposing inner walls of the frame are contacted by one end of only two torsion springs, each torsion spring being anchored by its other end, towards the center of the frame, to a substrate. In operation, the magnetometer measures the magnetic field in two orthogonal sensing modes using differential capacitance measurements.