Method for pressing moulds and mould pressing machine. It comprises: a first stage wherein moulds (1) with cheese inside them and a lid are transported to knocking down means (13), characterised in that it comprises: a second stage wherein said moulds (1) are knocked down horizontally and this way they are transported and loaded onto a first transfer structure (24) with a rising and descending movement, which is at the appropriate loading level, a third stage wherein said moulds (1) are transported from the transfer structure (24) to a first horizontal structure (3), arranged on a first level (7), which is in the initial position, until first structure (3) is full, a fourth stage wherein driving means (4) move said first structure (3) until a contiguous position, second position, and place in the initial position a second horizontal structure (5), empty of moulds to be loaded, and a fifth stage wherein once all the available structures (3,5) have been loaded with moulds (1), moulds (1) are pressed, at both ends of structures (3,5), with pressure means (6).
