We propose an extension of the proton tunneling model in order to study related to the shear strain u 6 dielectric, piezoelectric, and elastic properties of ferro-and antiferroelectrics of the KH 2 PO 4 family. This strain is introduced into the proton Hamiltonian via the linear contributions into the configurational energies of protons surrounding an oxygen tetrahedron. In the four-particle cluster approximation for the short-range interactions and the mean field approximation for the long-range interaction we explore the phase transition and piezoelectric effect in the KH 2 PO 4 ferroelectrics. In the paraelectric phase the dielectric, piezoelectric, and elastic characteristics of the NH 4 H 2 PO 4 antiferroelectrics are calculated. At the proper choice of the theory parameters a good agreement between theoretical and experimental results is obtained. Taking into account of the piezoelectric coupling with the shear strain u 6 allows one to calculate the static dielectric permittivities of free and clamped crystals as well as to obtain a good description of ferroelectric spontaneous shear strain u 6 .