We report on measurements of electrical resistivity and determination of the Curie temperature of single-crystal epitaxial ferromagnetic SrRuO3 thin films under hydrostatic pressures up to 23 GPa. The SrRuO3 thin film was grown on vicinal (001) SrTiO3 substrate using 90° off-axis magnetron sputtering. At atmospheric pressure, the thin-film Curie temperature is about 150 K. To generate the high pressure, the Bridgman anvil technique was used. Up to 13 GPa, a linear decrease of the Curie temperature was observed at a rate of 5.9 KGPa-1. Above 13 GPa, a striking saturation of the magnetic transition temperature at 77 K was observed.