In a method and apparatus for processing and packaging fillets, the fillets are fed on to a conveyor belt, cut into individual fillet slices by a slicer, analyzed in a camera for different parameters, and results fed to a calculation unit. The slices are further conveyed to transport tables positioned along the conveyor and transferred to package trays thereon. Each table has a weighing cell which currently weighs each individual package tray with slices and transfers weight data to the calculation unit to determine the type of fillet slice to be transferred next to a given package tray. Before the fillet is moved into the slicer, its weight is optionally determined either as an estimate made on the basis of a camera imaging of it or by a weighing cell arranged below the slicer. The packaging of fillet slices is performed optimally so that individual trays have a desired weight. It also ensures that the uppermost slice in a package is attractive to consumers.