Brake actuation assembly, comprising: - a thrust and support element comprising a first thrust end of thrust and support element adapted to cooperate with a first jaw of a brake; said thrust and support element comprising a second thrust and support element end; - a lever rotatably supported to said thrust and support element for rotating at least along a rotation thrust direction; said lever comprising a first lever end adapted to cooperate with a second jaw of the brake; said lever comprising a second lever end, wherein said second lever end comprises a hooking seat; and wherein said hooking seat is adapted to firmly receive a connecting portion of a coupling end of a traction cable, said traction cable having a cable body capable of an elastic flexural deformation that allows it to return to the straight position when the bending stress is removed; - said lever being adapted to rotate only when subjected to the traction action of the traction cable, for acting with the first lever end against said second jaw of brake; and wherein a safety distance between a first straight line, parallel to the rectilinear extension of the traction cable in non-bent position, passing by a lever end located at the end of the coupling end of the lever and a second straight line, parallel to the rectilinear extension of the traction cable in non-bent position, passing by an inner wall end located at the end of the inner element wall which substantially faces the lever said safety distance is less than the maximum transverse dimension of said coupling end D < K; - said lever comprises a lever abutment surface which cooperates with an abutment counter-surface provided in said thrust and support element to prevent a free rotation of the lever in the opposite direction to said rotation thrust direction; characterised in that - said thrust and support element and said second lever end define a guide channel which allows the passage of at least the coupling end when the cable body is elastically bent; - said guide channel allowing the coupling end to rotate about said second lever end and engage with said hooking seat upon the elastic return of the cable body in a cable body position substantially straight, preventing the rotation of the lever in the opposite direction to said rotation thrust direction when the coupling end rotates about said second lever end. - a thrust and support element comprising a first thrust end of thrust and support element adapted to cooperate with a first jaw of a brake; said thrust and support element comprising a second thrust and support element end; - a lever rotatably supported to said thrust and support element for rotating at least along a rotation thrust direction; said lever comprising a first lever end adapted to cooperate with a second jaw of the brake; said lever comprising a second lever end, wherein said second lever end comprises a hooking seat; and wherein said hooking seat is adapted to firmly receive a connecting portion of a coupling end of a traction cable, said traction cable having a cable body capable of an elastic flexural deformation that allows it to return to the straight position when the bending stress is removed; - said lever being adapted to rotate only when subjected to the traction action of the traction cable, for acting with the first lever end against said second jaw of brake; and wherein a safety distance between a first straight line, parallel to the rectilinear extension of the traction cable in non-bent position, passing by a lever end located at the end of the coupling end of the lever and a second straight line, parallel to the rectilinear extension of the traction cable in non-bent position, passing by an inner wall end located at the end of the inner element wall which substantially faces the lever said safety distance is less than the maximum transverse dimension of said coupling end D < K; a first straight line, parallel to the rectilinear extension of the traction cable in non-bent position, passing by a lever end located at the end of the coupling end of the lever and a second straight line, parallel to the rectilinear extension of the traction cable in non-bent position, passing by an inner wall end located at the end of the inner element wall which substantially faces the lever said safety distance is less than the maximum transverse dimension of said coupling end D < K; - said lever comprises a lever abutment surface which cooperates with an abutment counter-surface provided in said thrust and support element to prevent a free rotation of the lever in the opposite direction to said rotation thrust direction; characterised in that - said thrust and support element and said second lever end define a guide channel which allows the passage of at least the coupling end when the cable body is elastically bent; - said guide channel allowing the coupling end to rotate about said second lever end and engage with said hooking seat upon the elastic return of the cable body in a cable body position substantially straight, preventing the rotation of the lever in the opposite direction to said rotation thrust direction when the coupling end rotates about said second lever end.