In a lock and/or release system, structurally and operatively associated with the rests of circular blades or creasers, for cutting or creasing machines used in paper and cardboard manufacturing, comprising a plurality of structural operative units each having at least a rest cooperating with means for sliding and for traverse, a bearing beam, guides for the traverse of each unit along said bearing beam, said means for sliding cooperating with said guides, each unit including at least a circular blade or creaser, lowering and lifting means for the circular blade or creaser, and means for selectively locking or releasing said rest on said beam, the improvement comprising means for synchronizing the lowering and lifting means for the circular blade or creaser and the means for selectively locking or releasing said rest on said beam so that simultaneously with the lowering of said circular blade or creaser said rest locks with respect to said beam and simultaneously with the raising of said circular blade or creaser said rest releases with respect to said beam.