We propose a magnetoresistive memory cell on the basis of the three dimensional nanostructure “small disk on big disk” possessing the three stable configurations of magnetization. Magnetic behavior of magnetostatically interacting nanodisks under an impact of the high frequency excitation has been studied by means of micromagnetic simulation. The movement of a vortex core in the big disk can induce a change in magnetization configuration in the small one. We prove that magnetic state variation in the double disk nanostructure can be registered by the transverse magnetoresistance measurement.