  We propose a new realisation of hybrid inflation in supergravity where the
inflaton field does not appear in the superpotential but contributes only
through the Kahler potential. The scalar potential derived from an R-invariant
superpotential has the same form as that of the Linde's original version. The
correct magnitude of the density perturbations amplitude is found without any
fine-tuning of the coupling parameter in the superpotential for an acceptable
value of the fundamental energy scale of the theory. The eta-problem was also
resolved in this model.
