A method of manufacturing a microelectronic device with contactless operation, mainly for electronic passports. An antenna is made on a thin, flexible substrate. A perforated sheet that is thin and calibrated, and that has at least one cavity in its thickness, is placed on the substrate. A microelectronic chip is placed in each cavity of the perforated sheet and the output contacts of the microelectronic chip are connected to corresponding terminals of the antenna. The microelectronic chip is protected by sealing off the cavity that contains the chip. The method is particularly adapted for manufacturing electronic radiofrequency identification devices, in particular for electronic passports.