A mass flow rate-controlling apparatus including a mass flow rate-detecting mechanism 8 a flow rate-controlling valve mechanism 10 and a mechanism 44 for controlling the flow rate-controlling valve mechanism based on a flow rate-setting signal S0 input from outside and a flow rate signal S1, the flow path being provided with a pressure-detecting mechanism 42 for detecting the pressure of the fluid to output the detected pressure signal, so that the controlling mechanism selectively switches a first control mode for controlling the mass flow rate based on the flow rate signal and the flow rate-setting signal without using the detected pressure signal, and a second control mode for controlling the mass flow rate based on the detected pressure signal, the flow rate signal and the flow rate-setting signal, based on a pressure variation obtained from the detected pressure signal.