A generator, for example of a wind turbine, includes two end plates and a plurality of stator laminate plates arranged between the two end plates, is described. Each laminate plate and each end plate comprise a number of cooling holes which are located such that the cooling holes of the laminate plates and the cooling holes of the end plates are aligned with each other to form a number of cooling ducts by the stator material itself. Furthermore, a method for cooling a laminated stator of a generator is described having a cooling fluid guided via a tubing from a cooling fluid reservoir into at least one a partly open cooling duct in the laminated stator.