A method for the production of a multi-part piston for an internal combustion engine involves producing an upper piston part having a piston crown as well as an inner and an outer support element, and producing a lower piston part having a skirt and having pin boss supports and pin bosses connected with the pin boss supports, and an inner and an outer support element. A separate cooling oil collector having at least one cooling oil opening is inserted into the upper piston part or the lower piston part. The upper piston part and the lower piston part are connected in such a manner that the inner and outer support elements of the upper and lower piston parts, delimit an outer circumferential cooling channel and a cavity that is open toward the pin bosses and provided with the cooling oil collector.