Automatic cycle storage system comprising: - a plurality of cycles (1; 101; 301) each comprising: • an electric power storage device, • electrical contacts (19; 119; 119a), • an electrical supply circuit connecting the electric power storage device to said electrical contacts (19; 119; 119a), - a plurality of fixed docking structures (7; 107; 207; 307; 307a) to which said cycles (1; 101; 301) can be fixed, each comprising: • at least one central processing unit, • an electrical supply circuit connected to the central processing unit of the docking structure, • electrical contacts (34; 134; 134a) capable of coming into mutual contact with the respective electrical contacts (19; 119; 119a) on a cycle (1; 101; 301) locked to the docking structure, while connecting the electrical supply circuit of the cycle to the electrical supply circuit of the docking structure, - an external control device (2, S; S) communicating with the central processing unit of the docking structure and being capable of selectively authorising the borrowing of the cycles (1; 101; 301) locked to the docking structures, characterized in that the electrical supply circuits (24, 32) of the cycle and the docking structure are capable of allowing the electric power storage device on the cycle to supply the electrical supply circuit on the docking structure with power when the cycle is locked to the docking structure, and in that the electrical supply circuit of the docking structure is not connected to any external electric power source other than the electric power storage device on the cycle, and the central processing unit on the docking structure communicates with an external control device (2, S) by means of a wireless link. - a plurality of cycles (1; 101; 301) each comprising: • an electric power storage device, • electrical contacts (19; 119; 119a), • an electrical supply circuit connecting the electric power storage device to said electrical contacts (19; 119; 119a), • an electric power storage device, • electrical contacts (19; 119; 119a), • an electrical supply circuit connecting the electric power storage device to said electrical contacts (19; 119; 119a), - a plurality of fixed docking structures (7; 107; 207; 307; 307a) to which said cycles (1; 101; 301) can be fixed, each comprising: • at least one central processing unit, • an electrical supply circuit connected to the central processing unit of the docking structure, • electrical contacts (34; 134; 134a) capable of coming into mutual contact with the respective electrical contacts (19; 119; 119a) on a cycle (1; 101; 301) locked to the docking structure, while connecting the electrical supply circuit of the cycle to the electrical supply circuit of the docking structure, • at least one central processing unit, • an electrical supply circuit connected to the central processing unit of the docking structure, • electrical contacts (34; 134; 134a) capable of coming into mutual contact with the respective electrical contacts (19; 119; 119a) on a cycle (1; 101; 301) locked to the docking structure, while connecting the electrical supply circuit of the cycle to the electrical supply circuit of the docking structure, - an external control device (2, S; S) communicating with the central processing unit of the docking structure and being capable of selectively authorising the borrowing of the cycles (1; 101; 301) locked to the docking structures,