A new type of temperature-insensitive arrayed waveguide grating (AWG) was studied. Hybrid material waveguide structure in which polymer material was spun on the silica core was adapted in this temperature-insensitive arrayed waveguide grating to change the characteristic of the waveguide and then reduce the sensitivity of the arrayed waveguide grating. Two kinds of structure that were the three-layer structure and the four-layer structure were studied by theoretical and finite difference methods. The temperature characteristics of this arrayed waveguide grating were calculated. The simulation results showed that when temperature change was 0～50 ℃, the maximum wavelength shift of the temperature-insensitive arrayed waveguide grating was less than 0.03 nm, which was less than 4% of that of the ordinary arrayed waveguide grating.