BaTeMo2O9 is a noncentrosymmetric single crystal for nonlinear optical applications. In this letter, we report complete set of elastic, dielectric, and piezoelectric constants of BaTeMo2O9 single crystal determined by resonance technique and impedance analysis, the relative constants have been obtained and discussed. Our results show that BaTeMo2O9 crystal has excellent piezoelectric property (d(34)=30.25 pC/N, s(44)=36.46 pm(2)/N) and could be a promising candidate for piezoelectric applications.