A method of monitoring patients with at least one electromedical implant, in which at least one first data transmission is effected between the implant provided with a first transmitting/receiving device and at least one external apparatus provided with a second transmitting/receiving device. At least first data are transmitted from the implant to the external apparatus and at least one second data transmission is effected between the external apparatus and at least one central storage arrangement for the storage of first data, by a telecommunication connection which is at least partially made by way of a mobile radio network. The transmission at least of the first data to the central storage arrangement is effected by way of the portion, formed by the mobile radio network, of the telecommunication connection in the form of at least one SM-string (Short Message String).