The excitation of magnetostatic modes and exchange modes in thin YIG disks has been studied over a wide range of fields. The spectra of films magnetized normally (in magnetic field perpendicular to sample plane) are well described by the model of magnetostatic waves, modified by the exchange interactions. The exchange modes are weak, presumably due to weak pinning at the surfaces of the films. They follow theDk2law. The spectrum obtained in the parallel configuration is not well understood.