Inclined incidence of a shear horizontal elastic wave on a periodic structure of piezoelectric layers with metallized interfaces is considered. The layers are supposed to be made from the identical crystal of hexagonal symmetry but have alternating widths d1,d2. Due to the condition of fixed electropotential, each interface provides the reflection proportional to the parameter of electromechanical coupling q2. The interference of the reflected waves in the periodic structure causes the existence of the Bragg resonances in the reflection‐transmission spectrum so that ∥R∥max≊1 for a sufficiently large number of layers. Since q2≪1, the considered reflection spectrum exhibits some specific features such as high selectivity, modulation of the heights of the Bragg maximums depending on the value d1/(d1+d2), and the extinction effect. © 1995 American Institute of Physics.