An apparatus and method for the fixing of pieces of meat under pressure during a smoking or heating process, comprising a number of perforated elements arranged as layers above one another, and where holding elements are mutually connected by links which permit mutual displacement to a maximum distance between the layers. On three sides between adjacent layers, the holding elements are provided with fixed, perforated walls, and from at least one holding element, preferably more, the walls extend from two opposing sides from the bottom of the holding element(s) down towards the underlying holding element, and from the upper side from the same holding element(s) the walls extend towards the overlying holding element. There is hereby created a chamber for the insertion of each individual piece of meat, which due to the perforations in the chamber walls not only permits an optimum smoking of the pieces of meat during the smoking process, but also ensures a well-demarcated insertion space for the meat. Furthermore, the system makes it possible for the insertion of the pieces of meat to be carried out mechanically.