Diode-pumped Kerr-lens mode-locked laser operations of ${\mathrm{Yb}}^{3+}:{\mathrm{Sc}}_2{\mathrm{O}}_3$ ceramics have been achieved. $92\mathrm{fs}$ pulses with the average power of $850\mathrm{mW}$ under $3.89\mathrm{W}$ incident pump power were obtained at a center wavelength of $1042\mathrm{nm}$ . The optical-to-optical efficiency was 21.9%. $90\mathrm{fs}$ pulses with the average power of $160\mathrm{mW}$ were also obtained at a center wavelength of $1092\mathrm{nm}$ . To our knowledge, this is the first demonstration of a Kerr-lens mode-locked ${\mathrm{Yb}}^{3+}:{\mathrm{Sc}}_2{\mathrm{O}}_3$ laser.