A method for controlling a multipoint fluid distribution system which comprises: setting the working conditions of the motor of a centrifugal pump of the distribution system by determining a fluid supply pressure for feeding a plurality of consumption points which may require different supply pressures taken as the pump setpoint pressures, and measuring the supply pressure in at least one point of said fluid distribution system and varying the values of said setpoint pressures depending on the measured pressure, wherein said point of the distribution system where said pressure measurement is performed is a point previous to said consumption points through which the pumped fluid flows, and wherein the method comprises performing the following steps in sequence: a) permanently acquiring a successive series of supply pressure values (Pi) measured in said previous point; and b) successively varying the pump rotating speed for compensating said pressure variation in response to a pressure variation detected in said previous point as a result of said measurements of step a); the method being characterised in that it further comprises: c) detecting that at least two of said pressure values (P i1), (P i2), measured in said previous point increases or decreases in response to said variation of the pump rotating speed, and obtaining a curve of demand by calculating the coefficients of a known mathematical function descriptive of said curve of demand relating discharge height and flow rate of the pump, making said coefficient calculations from said measured pressure values (P i1), (P i2) and of corresponding calculated flow rate values; d) determining a consumption point which is equal to the value of the discharge height obtained when applying a flow rate value equal to zero in said mathematical function descriptive of the curve of demand with calculated coefficients; e) adopting a pump rotating speed providing a pump setpoint pressure, depending on said consumption point determined in step d), and f) restarting steps b) to e) in the event that another pressure variation is detected in said succession of values measured in step a) indicative of an alteration in the demand. setting the working conditions of the motor of a centrifugal pump of the distribution system by determining a fluid supply pressure for feeding a plurality of consumption points which may require different supply pressures taken as the pump setpoint pressures, and measuring the supply pressure in at least one point of said fluid distribution system and varying the values of said setpoint pressures depending on the measured pressure, wherein said point of the distribution system where said pressure measurement is performed is a point previous to said consumption points through which the pumped fluid flows, and wherein the method comprises performing the following steps in sequence: a) permanently acquiring a successive series of supply pressure values (Pi) measured in said previous point; and b) successively varying the pump rotating speed for compensating said pressure variation in response to a pressure variation detected in said previous point as a result of said measurements of step a); the method being characterised in that it further comprises: c) detecting that at least two of said pressure values (P i1), (P i2), measured in said previous point increases or decreases in response to said variation of the pump rotating speed, and obtaining a curve of demand by calculating the coefficients of a known mathematical function descriptive of said curve of demand relating discharge height and flow rate of the pump, making said coefficient calculations from said measured pressure values (P i1), (P i2) and of corresponding calculated flow rate values; d) determining a consumption point which is equal to the value of the discharge height obtained when applying a flow rate value equal to zero in said mathematical function descriptive of the curve of demand with calculated coefficients; e) adopting a pump rotating speed providing a pump setpoint pressure, depending on said consumption point determined in step d), and f) restarting steps b) to e) in the event that another pressure variation is detected in said succession of values measured in step a) indicative of an alteration in the demand. a) permanently acquiring a successive series of supply pressure values (Pi) measured in said previous point; and b) successively varying the pump rotating speed for compensating said pressure variation in response to a pressure variation detected in said previous point as a result of said measurements of step a); c) detecting that at least two of said pressure values (P i1), (P i2), measured in said previous point increases or decreases in response to said variation of the pump rotating speed, and obtaining a curve of demand by calculating the coefficients of a known mathematical function descriptive of said curve of demand relating discharge height and flow rate of the pump, making said coefficient calculations from said measured pressure values (P i1), (P i2) and of corresponding calculated flow rate values; d) determining a consumption point which is equal to the value of the discharge height obtained when applying a flow rate value equal to zero in said mathematical function descriptive of the curve of demand with calculated coefficients; e) adopting a pump rotating speed providing a pump setpoint pressure, depending on said consumption point determined in step d), and f) restarting steps b) to e) in the event that another pressure variation is detected in said succession of values measured in step a) indicative of an alteration in the demand.