Corner-pumped type is a new pumping type in the laser diode-pumped solid-state lasers, which has the advantages of high pump efficiency and favorable pump uniformity. Using the single corner pumped type, an efficient corner-pumped Nd:YAG/YAG composite slab continuous-wave 1.1 μm multi-wavelength laser is demonstrated in this paper. The compact plano-plane linear cavity configuration is adopted and the cavity length is only 22 mm. When the pump power is 50.3 W, the maximal output power is up to 10.9 W with an optical-to-optical conversion efficiency of 21.7% and a slope efficiency of 22%. The short-term instability of the output power is better than 0.6% when the pump power is 48 W.