Long-period fiber grating (LPFG) has a wide range of potential applications. But it is necessary to solve the cross sensitive problems of different physical quantities effectively before its practical application. Based on the sensibility of LPFG to the thickness and refractive index of cladding material, a new-type LPFG sensor composed of two-section multilayer transversely distributed refractive index is proposed. The influences of refractive index, thickness and length of the coating layer on the spectral characteristics of the new-type LPFG are analyzed by using coupling mode theory and transfer matrix method. The simulation results show that the resonant band splits due to the particularity of the LPFG structure. It can be concluded that this LPFG design can solve the cross sensitive problem and then can realize synchronous measurement of temperature, strain and other physical quantities.