A method of manufacturing a fluid-filled elastic mount which includes an electric body flexibly connecting an inner and an outer sleeve, means for defining a pressure-receiving chamber and an equilibrium chamber which are filled with a non-compressible fluid, and means for defining an orifice passage for fluid connection between the two chambers, the equilibrium chamber being defined partially by a rigid member and partially by a flexible diaphragm which permits volumetric changes of he equilibrium chamber. The present method includes the steps of: (a) preparing a mount body having the pressure-receiving and equilibrium chambers and orifice passage; (b) forming at least one injection hole through the rigid member partially defining the equilibrium chamber, such that the injection hole or hole is/are open on an outer surface of the elastic mount other than an outer circumferential surface of the outer sleeve; (c) injecting the non-compressible fluid through the injection hole(s), into the equilibrium and pressure-receiving chambers and the orifice passage; and (d) fluid-tightly closing the injection hole(s) upon completion of filling of the equilibrium and pressure-receiving chambers and orifice passage.