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High quality 0.02 mol%, 0.05 mol%, and 0.08 mol% Fe: β-Ga2O3 single crystals were grown by the floating zone method. The crystal structure, optical, electrical, and thermal properties were measured and discussed. Fe: β-Ga2O3 single crystals showed transmittance of higher than 80% in the near infrared region. With the increase of the Fe doping concentration, the optical bandgaps reduced and room temperature resistivity increased. The resistivity of 0.08 mol% Fe: β-Ga2O3 crystal reached to 3.63 × 1011 Ω ⋅cm. The high resistivity Fe: β-Ga2O3 single crystals could be applied as the substrate for the high-power field effect transistors (FETs). [ABSTRACT FROM AUTHOR]