We demonstrated a laser-diode pumped Nd-doped yttrium gallium garnet crystal laser at $1110\mathrm{nm}$ for the first time to our knowledge. By suppressing the oscillation at about $1.06\mathrm{\mu m}$ , continuous-wave output power of $2.1\mathrm{W}$ at $1110\mathrm{nm}$ was achieved. With a Cr:YAG as the saturable absorber, the passive Q-switching performance at this wavelength was obtained. The shortest pulse width and largest pulse energy were $31.5\mathrm{ns}$ and $22.7\mathrm{\mu J}$ , respectively. Laser radiation at this wavelength is an important source for detecting carbon monoxide poisoning by simple frequency doubling with a nonlinear crystal.