A non-invasive continuous blood pressure monitoring system includes a first sensor configured to send a first ultra-wideband electromagnetic pulses to an upper site of a blood vessel and receive a first reflected ultra-wideband electromagnetic pulses with phase variations caused by a pressure wave propagating in the blood vessel, a second sensor configured to send a second ultra-wideband electromagnetic pulses to a lower site of the blood vessel and receive a second reflected ultra-wideband electromagnetic pulses with phase variations caused by the pressure wave propagating in the blood vessel, and a signal-processing and blood pressure displaying device configured to calculate an estimated blood pressure by taking into consideration a propagation time of the pressure wave from the upper site to the lower site in the blood vessel.