If one would like to study representation theory of groupoids, some examples would be useful. We shall discuss a method to construct such examples generalizing the well-known procedure of geometric quantization. Starting point of this procedure is a coadjoint orbit. For groupoids such a coadjoint orbit has the structure of a symplectic fibration. A central role in the talk will be played by a new notion of momentum map, suitable for groupoid actions on symplectic fibrations. If one would not like to study representation theory of groupoids, one might still be interested symplectic fibrations an sich. Constructing a coupling form for symplectic fibrations, a momentum map of the above kind comes for free.