A new set of global phenomenological optical model potential parameters has been obtained for helium-3 projectile, by simultaneously fitting the experimental data of helium-3 total reaction cross sections and elastic scattering angular distributions in the mass range of target nuclei 20A209 at incident energies below 250 MeV. A comparison has been made between the extracted helium-3 global optical model potential parameters and the existing ones. The calculated results of total reaction cross sections and elastic scattering angular distributions are also compared with experimental data with their satisfactory agreement.helium-3, phenomenological optical model potentials, total reaction cross sections, elastic scattering angular distributions PACS: 24.10. Ht, 25.55.Ci, 25.70.Bc