This method comprises the use of a repair equipment including a humeral rod (2) intended to be placed in the medullary cavity of the humerus, comprising at least one hole (6) for receiving a thread (11) for repositioning the tuberosities (101, 102) and for maintaining the latter with respect to the rest of the bone. Said hole (6) is formed in the metaphyseal portion of the humeral rod (2), in the anteroposterior direction thereof; and the repair equipment further comprises a so-called “guying” subassembly (3), to maintain the tuberosities (101, 102) when they re-installed, two second so-called “traction” subassemblies (4), for pulling of the tuberosities (101, 102) one toward the other, and two so-called third “pressing” subassemblies (5), for tackling the tuberosities (101, 102); each of these sub-assemblies comprises a needle and thread (11) connected to this needle, this thread (11) forming a loop.