This invention relates to method of automatically cutting a meat product, in particular beef tenderloin, having a thumb-like part extending away from a head part of the meat product towards a tail part such that the meat product has a V-shape. The method includes conveying a meat product to be cut, obtaining image data of the meat product, determining a boundary position between a thumb-like part and a head part of the meat product, and utilizing the image data in instructing a cutting unit to cut the meat product into portions, where the cutting includes cutting on both sides of the boundary position such that the resulting portion fulfills a pre-defined criteria including a criteria indicating the extent of the thumb-like part in the resulting portion.