The invention relates to a method for manufacturing an antenna for a radiofrequency transponder, said antenna including a spiral comprising turns which extend, at least in part, over an insulating substrate; the method is characterised in that it includes the step ac-cording to which at least one first portion of each turn is deposited on said substrate at a first plane level, at least one second portion of each turn being formed or kept at a distance from the first plane level of the substrate, the axis of the spiral being parallel to the plane of the substrate. The invention also relates to a portable electronic object comprising, in a fixed or removable manner, the obtained antenna.