Process for the strapping of packages, comprising the phases of: - supplying a strap having at least one first free end; - wrapping said strap around a package; - tensioning said strap around said package; - cutting said strap to obtain a second free end; - closing said strap to form a closed loop; wherein said strap is made of a metal material, and by the fact that said closing comprises at least one phase of bending the extremal portions (15,16) of said strap one upon the other comprising said free ends (5,13), characterized by the fact that said strap comprises a first surface intended to be turned towards said package and a second surface, opposite said first surface and intended to be turned towards the outside, said phase of coupling being carried out by superimposing said extremal portions (15,16) so as to bring the relevant first surfaces into contact, by the fact that said extremal portions (15,16) comprise an outer extremal portion and an inner extremal portion, said phase of coupling being carried out so that said outer extremal portion has a protruding stretch with respect to said inner extremal portion, said closing comprising at least a first bending phase in which said protruding stretch is bent over said inner extremal portion to define a first binding, that said first binding comprises two consecutive stretches (22,25) of the outer extremal portion bent one upon the other, of which a first stretch corresponding to said protruding stretch and a second stretch, and an inner stretch of said inner extremal portion positioned between said consecutive stretches (22,25), the first surface of said protruding stretch being arranged facing the second surface of said inner stretch, where said closing comprises at least a second bending phase wherein said first binding is bent over a further stretch of said inner extremal portion to define a final binding, and characterized by the fact that said final binding comprises a third stretch of said outer extremal portion consecutive to said second stretch, said second stretch and said third stretch being facing outwards, and between which are positioned, in sequence, starting from said second stretch, said inner stretch, said protruding stretch and said further stretch. - supplying a strap having at least one first free end; - wrapping said strap around a package; - tensioning said strap around said package; - cutting said strap to obtain a second free end; - closing said strap to form a closed loop; wherein said strap is made of a metal material, and by the fact that said closing comprises at least one phase of bending the extremal portions (15,16) of said strap one upon the other comprising said free ends (5,13), characterized by the fact that said strap comprises a first surface intended to be turned towards said package and a second surface, opposite said first surface and intended to be turned towards the outside, said phase of coupling being carried out by superimposing said extremal portions (15,16) so as to bring the relevant first surfaces into contact, by the fact that said extremal portions (15,16) comprise an outer extremal portion and an inner extremal portion, said phase of coupling being carried out so that said outer extremal portion has a protruding stretch with respect to said inner extremal portion, said closing comprising at least a first bending phase in which said protruding stretch is bent over said inner extremal portion to define a first binding, that said first binding comprises two consecutive stretches (22,25) of the outer extremal portion bent one upon the other, of which a first stretch corresponding to said protruding stretch and a second stretch, and an inner stretch of said inner extremal portion positioned between said consecutive stretches (22,25), the first surface of said protruding stretch being arranged facing the second surface of said inner stretch, where said closing comprises at least a second bending phase wherein said first binding is bent over a further stretch of said inner extremal portion to define a final binding, and characterized by the fact that said final binding comprises a third stretch of said outer extremal portion consecutive to said second stretch, said second stretch and said third stretch being facing outwards, and between which are positioned, in sequence, starting from said second stretch, said inner stretch, said protruding stretch and said further stretch.