  We consider a simple inflation model with a complex scalar field coupled to
gravity non-minimally. Both the modulus and the angular directions of the
complex scalar are slowly rolling, leading to two-field inflation. The modulus
direction becomes flat due to the non-minimal coupling, and the angular
direction becomes a pseudo-Goldstone boson from a small breaking of the global
U(1) symmetry. We show that large non-Gaussianity can be produced during
slow-roll inflation under a reasonable assumption on the initial condition of
the angular direction. This scenario may be realized in particle physics models
such as the Standard Model with two Higgs doublets.
