An electronic closure system has one or more lockable and unlockable closure units, each arranged on an opening element of an object to be secured, at least one authorizing authentication element and a closure control unit with at least one authentication element identification sensor. The at least one authentication element identification sensor has a predetermined detection area, which covers an external detection zone outside the object. The closure control unit produces different closure control commands, related to locking and/or unlocking, based on whether and in what external detection zone authorizing authentication element is detected. The closure control unit contains a sensor system for determining the range of an identified authentication element from the object and, on identification of an authorizing authentication element, automatically produces different closure control commands for the respective closure unit, as a function of the range between the identified authentication element and the object.