Electric bicycles anchoring system of the type comprising a first module installed on the base of an anchoring and recharge station for electric bicycles and a second module, complementary to the first module and installed on an electric bicycle, and the anchoring system is characterized in that: - the first module comprises: - an outer body with at least one hollow section, - a mobile body with at least one recess configured to receive a projection of the second module, and said mobile body comprises at least one perimeter recess, - an electromagnet attached to a locking part with possibility of vertical displacement, and the locking part fits into the perimeter recess of the mobile body to hold it in its position, - a ball lock comprising a plurality of balls arranged radially on the walls of the mobile body, - first electrical charge connections, - first data transmission elements, - an alarm trigger which is a ferromagnetic part arranged at one end of the mobile body, - an electromagnetic suction cap linked to the alarm trigger, and - an activation switch which detects attachment between the alarm trigger and the electromagnetic suction cap; - the second module comprises: - a projection configured for insertion into the mobile body, and which has a perimeter groove for receiving the balls of the ball lock, - second electrical charge connections configured to make contact with the first electrical charge connections, - second data transmission elements configured to make contact with the first data transmission elements. - the first module comprises: - an outer body with at least one hollow section, - a mobile body with at least one recess configured to receive a projection of the second module, and said mobile body comprises at least one perimeter recess, - an electromagnet attached to a locking part with possibility of vertical displacement, and the locking part fits into the perimeter recess of the mobile body to hold it in its position, - a ball lock comprising a plurality of balls arranged radially on the walls of the mobile body, - first electrical charge connections, - first data transmission elements, - an alarm trigger which is a ferromagnetic part arranged at one end of the mobile body, - an electromagnetic suction cap linked to the alarm trigger, and - an activation switch which detects attachment between the alarm trigger and the electromagnetic suction cap; - an outer body with at least one hollow section, - a mobile body with at least one recess configured to receive a projection of the second module, and said mobile body comprises at least one perimeter recess, - an electromagnet attached to a locking part with possibility of vertical displacement, and the locking part fits into the perimeter recess of the mobile body to hold it in its position, - a ball lock comprising a plurality of balls arranged radially on the walls of the mobile body, - first electrical charge connections, - first data transmission elements, - an alarm trigger which is a ferromagnetic part arranged at one end of the mobile body, - an electromagnetic suction cap linked to the alarm trigger, and - an activation switch which detects attachment between the alarm trigger and the electromagnetic suction cap; - the second module comprises: - a projection configured for insertion into the mobile body, and which has a perimeter groove for receiving the balls of the ball lock, - second electrical charge connections configured to make contact with the first electrical charge connections, - second data transmission elements configured to make contact with the first data transmission elements. - a projection configured for insertion into the mobile body, and which has a perimeter groove for receiving the balls of the ball lock, - second electrical charge connections configured to make contact with the first electrical charge connections, - second data transmission elements configured to make contact with the first data transmission elements.