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In this paper the bulk exciton polaritons in teary mixed crystals (TMCs) are investigated in the Bo-Huang approximation. The numerical results of the polariton frequencies as functions of the wave-vector and the compositions for teary mixed crystals AlxGa1-xAs, CdxZn1-xSe, and AlxGa1-xN are obtained and discussed. The new dispersion characteristics for exciton-polaritons in TMC systems are found in comparison with binary crystals. The splitting of the two branches of exciton-polariton frequencies varies nonlinearly with the composition of TMCs and has a minimum in the long-wavelength range.