A method of continuously monitoring the measurement of arterial pressure by a pressure sensor connected via a hydraulic link to a catheter previously introduced into the artery of a patient, said hydraulic link transmitting a patient's arterial pressure signal to the sensor, said "incident signal" applied to the intra-arterial end of the catheter and the sensor transforming the signal transmitted by the hydraulic link into an electrical signal, said "measured signal", said method comprising the following steps, carried out by at least one processor (101, 102) of: - determination, from the measured signal, of the dynamic parameters of said hydraulic link, said parameters comprising the natural frequency (f 0) and the damping coefficient (z) of the hydraulic link, - analysis of the frequency content of the incident signal, so as to determine the maximum frequency component (fh) of said signal, - detection, on the basis of the said dynamic parameters of the hydraulic link and the maximum frequency to be transmitted, of one of the following situations: (a) the ability of the hydraulic link to transmit the incident signal to the sensor with distortion below a threshold, (b) the ability of the hydraulic link to transmit the incident signal to the sensor with a distortion greater than said threshold and the possibility of correcting the measured signal, (c) the inability of the hydraulic link to transmit the incident signal to the sensor with a distortion below said threshold and the impossibility of correcting the measured signal, - if situation (c) is detected, an alert signal is sent via a man-machine interface, said method further comprising the periodic application, by an actuator module, of a mechanical action on the external wall of the pipe which provides the hydraulic link and the analysis, by the processor, of the signal measured in response to said mechanical action in order to determine the dynamic parameters (f 0, z) of said hydraulic link, the processor implementing, for the detection of one of the situations (a), (b) or (c): (i) a comparison of the measured signal and a measured signal corrected as a function of the dynamic parameters (f 0, z) of the hydraulic link, (ii) the positioning, on a natural frequency-damping graph, of the point representing the dynamic parameters (f0, z) of the hydraulic link in relation to a tolerance area determined by the maximum frequency component of the signal used (fh), and (iii) verification of the consistency of the results of steps (i) and (ii). - determination, from the measured signal, of the dynamic parameters of said hydraulic link, said parameters comprising the natural frequency (f 0) and the damping coefficient (z) of the hydraulic link, - analysis of the frequency content of the incident signal, so as to determine the maximum frequency component (fh) of said signal, - detection, on the basis of the said dynamic parameters of the hydraulic link and the maximum frequency to be transmitted, of one of the following situations: (a) the ability of the hydraulic link to transmit the incident signal to the sensor with distortion below a threshold, (b) the ability of the hydraulic link to transmit the incident signal to the sensor with a distortion greater than said threshold and the possibility of correcting the measured signal, (c) the inability of the hydraulic link to transmit the incident signal to the sensor with a distortion below said threshold and the impossibility of correcting the measured signal, (a) the ability of the hydraulic link to transmit the incident signal to the sensor with distortion below a threshold, (b) the ability of the hydraulic link to transmit the incident signal to the sensor with a distortion greater than said threshold and the possibility of correcting the measured signal, (c) the inability of the hydraulic link to transmit the incident signal to the sensor with a distortion below said threshold and the impossibility of correcting the measured signal, - if situation (c) is detected, an alert signal is sent via a man-machine interface, said method further comprising the periodic application, by an actuator module, of a mechanical action on the external wall of the pipe which provides the hydraulic link and the analysis, by the processor, of the signal measured in response to said mechanical action in order to determine the dynamic parameters (f 0, z) of said hydraulic link, the processor implementing, for the detection of one of the situations (a), (b) or (c): (i) a comparison of the measured signal and a measured signal corrected as a function of the dynamic parameters (f 0, z) of the hydraulic link, (ii) the positioning, on a natural frequency-damping graph, of the point representing the dynamic parameters (f0, z) of the hydraulic link in relation to a tolerance area determined by the maximum frequency component of the signal used (fh), and (iii) verification of the consistency of the results of steps (i) and (ii). (i) a comparison of the measured signal and a measured signal corrected as a function of the dynamic parameters (f 0, z) of the hydraulic link, (ii) the positioning, on a natural frequency-damping graph, of the point representing the dynamic parameters (f0, z) of the hydraulic link in relation to a tolerance area determined by the maximum frequency component of the signal used (fh), and (iii) verification of the consistency of the results of steps (i) and (ii).