PURPOSE: A muffler mount for operating large displacement is provided to enable active transformation in respect to external shock and vibration within a specified range by applying tension on the muffler mount. CONSTITUTION: According to a muffler mount for operating large displacement, multiple clips(16) are alternately formed on the outside of a main body(11). A strap(18) for preventing large displacement is inserted into an area between the inner surface and the main body of each clip. A tension hole(14) passing through the main body is formed between mount rod fixing holes(12,13). An S-shaped tension member(15) connects the upper surface and the lower surface of the tension hole.