Giant topological Hall resistivity up to 1.53μΩcm has been observed in our tetragonal Heusler alloy Mn2PtSn at temperatures lower than 200K. The appearance of topological Hall effect is mainly attributed to the formation of non-collinear magnetism due to the competition between the antiferromagnetic coupling and the ferromagnetic interaction. Furthermore, accompanying the spin reorientation at 192K, the ordinary Hall coefficient changed from positive to negative during cooling, implying the transition from holes conduction to electrons conduction owing to the magnetic reorientation. The present study suggests that Mn2PtSn is a promising candidate for technological applications in spintronic devices.