The invention relates to the filling of a frozen dessert product in a container,by performing the steps of : arranging at least one container to be filled on a slatconveyor, moving the container on the slat conveyor towards a dispensing nozzle,vertically displacing at least one slat supporting the container, and horizontallydisplacing the slat supporting the container in a direction perpendicular tothe transport direction of the slat conveyor, while dispensing the product fromthe dispensing nozzle into the container.