Superplastic bulging properties of TA32 titanium alloy sheet under different strain paths were studied by carrying out high temperature gas bulging experiments. Four kind of elliptical dies with different minor-major axis ratios were used to achieve different biaxial tensile strain paths, and the rolling direction and transverse direction of the specimen were parallel to the major-axis direction of the die to analyze the deformation anisotropy. Based on the Barlat' 89 yield criterion under the non-associated flow criterion as well as the strain components, thicknesses and radius of curvature at the apex of the bulging specimens, the equivalent stress–strain curves under different strain paths were determined. The results show that the superplastic bulging properties of TA32 sheet have a remarkable strain path dependence, when the loading path changes from equi-biaxial tension to near plane strain, the ultimate bulging height of the sheet decreases, the thinning rate and peak stress increase, the elongation and formability decrease. Meanwhile, TA32 sheet exhibits significant anisotropy of mechanical properties under high-temperature biaxial tension. When the rolling direction is parallel to the first principal strain direction, the material has lower peak stress and higher plasticity, showing better formability.