  In this article, we construct a class of constant curvature and spherically
symmetric thin-shell Lorentzian wormholes in F(R) theories of gravity and we
analyze their stability under perturbations preserving the symmetry. We find
that the junction conditions determine the equation of state of the matter at
the throat. As a particular case, we consider configurations with mass and
charge. We obtain that stable static solutions are possible for suitable values
of the parameters of the model.
