A portable wireless apparatus for monitoring heart activity comprising supporting means attached to a user's body in a releasable manner, at least two sensing electrodes (11, 12) arranged on or in said supporting means, a signal processing unit connected electrically to said sensing electrodes and comprising a pre-amplifier stage (15a), an analog-to-digital converter stage (15b), a low-pass filtering stage (13, 14) wherein said stages are designed as a single integrated circuit (15), as well as a microcontroller (16) and a Bluetooth module (17), and further comprising a processing, operating and displaying unit establishing a wireless communication connection with said signal processing unit and preferably implemented by a smartphone device.