Based on the nonlinear and mode coupling effect in few-mode photonic crystal fiber (FM-PCF), an approach for supercontinuum (SC) generation in the mid-infrared (MIR) region is proposed. The propagation characteristics of Ge11.5As24Se64.5 FM-PCF have been analyzed and optimized by the full-vector finite element method. The two-mode generalized nonlinear Schrodinger equation (TM-GNLSE) is set up, and the SC generation has been analyzed by the split-step Fourier method. The SC from 1.80 μm to 11.32 μm is generated by pumping 3.0-cm-long fiber at the central wavelength of 3.0 μm, the peak power of 120 W, and the pulse duration of 250 fs.