An IV flow rate regulator for precision dosage of medical liquids including a first part, a second part with an integrated outlet tubular connector and a mating attachment part with an integrated inlet tubular connector, coupled to one another in a rotatable manner with a first elastic gasket in a depression in the base wall of the second part, a second elastic gasket in a depression in the base wall of the mating attachment part, a dosing passage groove provided between the first and second gaskets, the dosing groove opening progressively the communication between the inlet tubular connector and the outlet tubular connector by rotation of the first and second parts. Also provided is a method for the fabrication of the IV flow regulator.