In this paper, a double mode surface acoustic wave (DMS) filter based on 128°YX-LiNbO3 piezoelectric material is designed. The two-dimensional device model of DMS filter is obtained by using the coupling of mode (COM) model to carry out the theoretical analysis, and the single-stage DMS filter is obtained by using COMSOL to carry out the simulation of the two-dimensional device. In order to eliminate the shoulder peak appearing at the low-end near stop band of the DMS filter, this paper proposes to coat a layer of SiO2 film on its surface to form a temperature compensation structure. The results show that the designed DMS filter has a center frequency of 891.0 MHz, minimum insertion loss of -1.29 dB, 1 dB bandwidth of 34.0 MHz, fractional bandwidth of 3.8%, rectangular coefficient of 2.94 and out-of-band rejection of about -20 dB.