We introduce the concept of the hybrid magnetic skyrmion (HMS) by patterning arrays of magnetic nanodisks on top of thin films that possess the Dzyaloshinskii-Moriya interaction (DMI). The practical feasibility of the method is validated by micromagnetic simulations and computed Skyrmion number per unit cell. The HMS has enhanced stability and mobility with respect to existing skyrmion configurations. The skyrmion Hall effect is substantially reduced, in comparison with skyrmion stabilized by the DMI only. We created isolated skyrmions via current pulses and drove them by a continuous current at enhanced speed of 750 m/s.