An apparatus for measuring the propagation velocity of a pressure wave comprises a first sensor of cutaneous vibration to measure a vibration generated in a first application point, creating a corresponding first signal, and a second sensor of cutaneous vibrations to measure a local cutaneous vibration generated in second point of an arterial vessel, creating a corresponding second signal caused by the deformation of the vessel responsive to the progression of the pressure wave in the vessel. A control unit detects on the first and second signal respectively a first instant time T1 and a second instant time T2 corresponding to a same event of a cardiac cycle. On the basis of T1 and T2 a transit time PTT (Pulse Transit Time) is calculated of the pressure wave and then the propagation velocity is measured of the pressure wave as the ratio between the length of the path arterial.