-Ga 2 O 3 single crystals doped with the Cr 3ϩ ion were grown in an O 2 atmosphere using the floating zone method. Electron paramagnetic resonance ͑EPR͒ spectra of the Cr 3ϩ ion were recorded with an X band EPR spectrometer at 20°C. The rotation patterns of Cr 3ϩ spectra in the crystallographic planes together with spin-Hamiltonian parameters showed unequivocally that the actual local site symmetry of the Cr 3ϩ ion in -Ga 2 O 3 is not orthorhombic, as previously reported, but monoclinic. The spectroscopic splitting tensor g and the zero-field splitting parameters B k q s were determined with an effective spin Hamiltonian. The Cr 3ϩ ions replace Ga 3ϩ ions in oxygen octahedra rather than in oxygen tetrahedra. The energy levels of the ground state of a Cr 3ϩ ion embedded in the -Ga 2 O 3 crystal were calculated.