Using yttrium vanadate (YVO₄) and barium wolframate (BaWO₄) Raman crystals together in the same Stokes wave cavity, a dual-wavelength extracavity Raman laser with wavelengths of 1176 nm and 1181 nm and a frequency difference of about 1 THz is achieved based on their Raman shifts of 891 cm^-1 and 926 cm^-1, respectively, under pulsed 1064 nm fundamental wave pumping. With incident fundamental laser pulse repetition frequency being 10 kHz and the average power being 10.7 W, the average output power of the dual-wavelength Raman Stokes wave reaches 3.78 W, with corresponding optical efficiency being 35.3%. The pulse width and the peak power are 11 ns and about 34 kW, respectively. The intensities and the temporal behavior of the two wavelengths components in Stokes output are generally consistent. The beam quality factor M² is no more than 1.2. The results show that the dual-crystal Raman laser can be an effective method for generating dual-wavelength laser output. The various Raman crystals with numerous Raman lines also provide potential choices for dual-wavelength laser output with flexible frequency difference.