A system for continuously monitoring the blood pressure of a patient for an extended period of time which comprises: a sphygmomanometer unit for measuring blood pressures in an artery of an upper arm of the patient during a measurement cycle, wherein the measurement cycle has a beginning and an end, and wherein a systolic pressure (p systolic) is measured at a time "t 0 " at the beginning of the measurement cycle when a cuff pressure has been reduced from occlusion of the blood flow to the point where blood begins a turbulent flow and a diastolic pressure (p diastolic) is measured at the end of the measurement cycle when the cuff pressure is further reduced until blood flow in the arm is fully developed; an oximeter device for detecting blood pressure pulses in the cardio-vasculature of a finger of the same arm of the patient during the measurement cycle, wherein a minimum pressure pulse detected after the beginning of the measurement cycle has an amplitude value "V 1 ", and a second pulse amplitude value "V 2 " is detected at the end of the measurement cycle wherein V 1 is detected by the oximeter device and a first pressure p 1 is measured by the sphygmomanometer unit at a determined time ("t 1 ") in the measurement cycle, and wherein an initial pressure drop Δ 1 is established at the time t 1 with Δ 1 being a correction factor equal to the difference between p systolic and pi (Δ 1 = p systolic - p 1); and a computer for comparing a pulse differential "Δ v " (Δ v = V 1 -V 2) directly with a pressure differential "Δ p " (Δ p = p 1 - p diastolic) to correlate the pulse metrics of Δ v with pressure metrics of Δ p and equating the systolic pressure (p systolic) with "V 2 + Δ 1 " and p diastolic with V 1, to identify variations in pulse amplitudes V 2 detected by the oximeter as indications of corresponding variations in systolic pressures (p systolic) during the extended period of time following the measurement cycle. a sphygmomanometer unit for measuring blood pressures in an artery of an upper arm of the patient during a measurement cycle, wherein the measurement cycle has a beginning and an end, and wherein a systolic pressure (p systolic) is measured at a time "t 0 " at the beginning of the measurement cycle when a cuff pressure has been reduced from occlusion of the blood flow to the point where blood begins a turbulent flow and a diastolic pressure (p diastolic) is measured at the end of the measurement cycle when the cuff pressure is further reduced until blood flow in the arm is fully developed; an oximeter device for detecting blood pressure pulses in the cardio-vasculature of a finger of the same arm of the patient during the measurement cycle, wherein a minimum pressure pulse detected after the beginning of the measurement cycle has an amplitude value "V 1 ", and a second pulse amplitude value "V 2 " is detected at the end of the measurement cycle wherein V 1 is detected by the oximeter device and a first pressure p 1 is measured by the sphygmomanometer unit at a determined time ("t 1 ") in the measurement cycle, and wherein an initial pressure drop Δ 1 is established at the time t 1 with Δ 1 being a correction factor equal to the difference between p systolic and pi (Δ 1 = p systolic - p 1); and a computer for comparing a pulse differential "Δ v " (Δ v = V 1 -V 2) directly with a pressure differential "Δ p " (Δ p = p 1 - p diastolic) to correlate the pulse metrics of Δ v with pressure metrics of Δ p and equating the systolic pressure (p systolic) with "V 2 + Δ 1 " and p diastolic with V 1, to identify variations in pulse amplitudes V 2 detected by the oximeter as indications of corresponding variations in systolic pressures (p systolic) during the extended period of time following the measurement cycle.