Disclosed is a variable differential mount apparatus using a Magnetorheological Elastomer (MRE). The apparatus includes a core, a coil, a plurality of MRE supports, and a magnetic path formation member. The core has a plurality of arms disposed thereon. The coil is wound on the plurality of arms, respectively. The plurality of MRE supports are disposed to face the plurality of arms, respectively. The magnetic path formation member is disposed outside the plurality of MRE supports. More specifically, a current is applied to coil to vary the degree of stiffness of the variable differential mount based on a particular driving condition to allow for increased handling and comfort.