The present invention provides an apparatus for controlling an administration rate of medical fluid. The apparatus is configured such that medical fluid supplied into a single inlet tube is divided by a plurality of capillary tubes into several streams of medical fluid which have different flow rates, and the tubes through which the streams of medical fluid flow are switched by a multi-valve to select one of various flow pathways. Therefore, the flow rate of medical fluid can be quantitatively selected so that an appropriate amount of medical fluid is administered to an administration target, such as a patient, along the selected flow pathway.