The invention discloses an AND logic gate and an NAND logic gate based on magnetic skyrmion. The magnetic skyrmion is placed in the annular magnetic racing track. A voltage driving mode is adopted toenable the skyrmion to circularly move in the magnetic racing track, and the state of the skyrmion in the magnetic racing track is read through the magnetic tunnel junction, so that the logic functions of the AND gate and the NAND gate are realized, and the stability of the NOT gate based on the skyrmion and the AND gate in use is ensured.