Using high-resolution sound velocity measurements, we determined the temperature dependence of the principal elastic constants of the multiferroic compound Ba 3 NbFe 3 Si 2 O 14 at different magnetic fields. All four elastic constants revealed an anomaly at T N = 27.1(1) K, which coincides very well with the emergence of the magnetic chiral state. More importantly, we carried out velocity measurements as a function of a field rotating in the basal trigonal plane at different fields and temperatures. In particular, in the magnetically ordered state, we observed an angular hysteresis of C 11 /C 11 , which might be associated with the field-induced ferroelectric polarization suddenly switching from the b * axis to the a direction, due to the magnetoelectric effect previously observed in Ba 3 NbFe 3 Si 2 O 14. The data analysis also leads to an estimate for the lattice distortion (e 1 − e 2 10 −5) accounting for a symmetry reduction in the magnetic chiral state possibly associated with the induced polarization along the a axis in zero field.