Single phase of Fe^3+-doped α-Ga2-xFexO3(α-GF x O, x = 0.1, 0.2, 0.3, 0.4) is synthesized by treating the β-Ga2-x Fe x O3(β-GF x O) precursors at high temperatures and high pressures. Rietveld refinements of the X-ray diffraction data show that the lattice constants increase monotonically with the increase of Fe^3+content. Calorimetric measurements show that the temperature of the phase transition from α-GF x O to β-GF x O increases, while the associated enthalpy change decreases upon increasing Fe^3+content. The optical energy gap deduced from the reflectance measurement is found to decrease monotonically with the increase in Fe3+content. From the measurements of magnetic field-dependent magnetization and temperature-dependent inverse molar susceptibility, we find that the superexchange interaction between Fe^3+ions is antiferromagnetic. Remnant magnetization is observed in the Fe^3+-doped α-GF x O and is attributed to the spin glass in the magnetic sublattice. At high Fe^3+doping level(x = 0.4), two evident peaks are observed in the image part of the AC susceptibility χ ac. The frequency dependence in intensity of these two peaks as well as two spin freezing temperatures observed in the DC magnetization measurements of α-GF0.4O is suggested to be the behavior of two spin glasses.