A magnetic tunneling junction structure for magnetic random access memory is disclosed. A composite structure includes at least a pinning layer, a barrier layer, a ferromagnetic layer and a free layer, and the material of the pinning layer and the free layer are perpendicularly anisotropic ferrimagnetic. As the structures include of several barrier layers, free layers and ferrimagnetic layers, that lower coercivity and high squareness for the hysteresis curves can be obtained, and reduction of the coercivity of the free layer can be achieved.