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A dual-parameter simultaneous measurement scheme of temperature and strain based on superimposed long period gratings(SLPFG) is designed, which is compact in structure, low in cost and simple in fabrication.In the scheme, two sub-gratings with periods and are overlapped and written on the same fiber to form a superimposed long period grating(SLPFG). The transmission spectrum of this grating is stable and controllable, this avoids the disadvantages that the resonance peaks of the transmission spectrum of the tandem type cascaded long-period fiber grating(CLPFG) are too dense and multi-peaked, too sensitive, and not suitable as a measurement target.The relationship between different grating pitch, different order resonance peaks and temperature and strain sensitivity is analyzed by numerical method.The simulation shows that: under the premise of fixing certain parameters, the greater the absolute pitch of the grating and the greater the difference of the pitch between the two sub-gratings, the higher the temperature and strain sensitivity. The higher the order of the selected two resonance peaks and the greater the difference in order, the higher the temperature and strain sensitivity will be.Based on the simulation results, a sensor demodulation matrix with enhanced sensitivity is designed, and the perturbation analysis of the matrix is carried out. The results show that the obtained demodulation matrix has a lower condition number than other schemes, which effectively improves the immunity of the sensor,reducing the influence of measurement error on measurement accuracy.