A semiconductor memory device which uses tunneling magnetoresistive element as memory cells and eliminates the temperature dependencies in a write margin and read margin in such a way as to be able to accurately output a write current at the time of writing the memory cells. The semiconductor memory device is constructed in such a way that main bit lines or main word lines are laid out so as to cross bit lines or word lines perpendicularly, and a main bit line selector or a main word line selector which respectively selects the main bit line or the main word line is arranged outside a memory cell array.