A high power and efficiency continuous-wave 2044 nm c-cut Tm,Ho:YAP laser is designed and fabricated. Based on a dual-end pumped scheme, a c-cut Tm,Ho:YAP crystal is pumped by a laser diode with centre wavelength of 794.75 nm, the dimensions of crystal is 4 mm × 4 mm × 7 mm, its co-doped atomic fraction are 5% Tm and 0.3% Ho，and the laser crystal is cooled by liquid N2. The end faces of laser crystal polished plane are both coated by 790~800 nm and 1900~2100 nm with reflectivity less than 0.5% . The resonator cavity of c-cut Tm,Ho:YAP is a plano-concave cavity with a plano-concave mirror and a flat mirror, and its physical cavity length is 150 mm. The different pumped wavelengths are changed by altering the temperature of laser diode in experiment, a measured maximum output power of 10.5 W is achieved with an optical-optical conversion efficiency of 37.4%.