This paper presents three methods that can be used to characterise piezoelectric integrated structures or materials, based on the resolution of an inverse problem. Analytical models that describe the electrical and/or mechanical behaviour of the material or structure as a function of piezoelastic properties are developed, and the appropriate measurements are carried out on the piezoelectric materials. The fitting of these models with experimental data allows the piezoelastic properties to be determined. Three characterisation methods are described. The first one is based on the electrical impedance measurement of piezoelectric integrated structures. The second one, purely acoustic, is based on the measurement of transmission coefficients of a plane wave through a piezoelectric plate. The third method uses the principle of resonance ultrasound spectroscopy of a piezoelectric cube combined with Laser detection.