Abstract: The invention relates to an apparatus for gaining boneless fish fillets. In a fish filleting machine which processes the fish being conveyed tail first and comprises a belly and back filleting toot, and a severing tool for releasing meat bands on either side of the spinal column in the tail region, a pinbone tool is arranged between the two first-mentioned tools, this pinbone tool comprising circular knives between which a graving knife is arranged for severing the meat strip containing the pinbones immediately after this strip has been cut free.