We demonstrated a new kind of dual-wavelength mid-infrared optical parametric oscillator (OPO), synchronously pumped by two independent fiber lasers, which were combined in parallel by a wavelength division multiplexer and had central wavelengths located at 1018 nm and 1064 nm separately. With reasonable cavity design and under the maximum pump power of 55.5 W, two idler emissions fixed at 3200 nm and 3704 nm were obtained and the total idler output power reached 2.6 W, indicating a 4.7% pump-to-idler conversion efficiency. Just one signal beam was observed in the experiment, which was around 1493 nm. It was analyzed that two OPO processes existed in the resonant cavity and shared the same signal beam, both which simultaneously met the phase-matching conditions.