An apparatus and method for slicing food products such as loaves of bread and the like where multiple slices are formed at substantially the same time. A blade cleaning assembly is included for removing slicing debris from band slicing blades after having moved through the product being sliced. Multiple blade continuous cleaning by opposed scraper blades through which each band blade passes achieve the desired cleaning function. The apparatus and method are particularly well-suited for removing slicing debris from loaves of bread which are of the so-called no-fat or low-fat variety.