The present invention relates to a system for measuring the arterial parameters. The system of the invention comprises a signal unit for providing radio frequency (RF) ultrasound signal and demodulated RF ultrasound signal and of the data relating thereto from the signal acquired therefrom a detection unit for detecting the presence of blood flow in an artery an identification unit for identifying the said artery a processing unit for processing the said data and for providing the distension waveform of the said artery and an estimating unit for estimating at least one of a plurality of localized arterial parameters of the said artery. The invention also relate to a method for measuring the arterial parameters by the system of the invention. The invention has the advantage of measuring localized blood pressure continuously and also other localized arterial parameters such as Peak Systolic Velocity, Pulse Wave Value and arterial compliance measures, in a non-imaging, non-invasive and cuff-less manner.