Abstract: An elliptical-shaped, plate type muffler holding member made of an elastic material having the structure of: a first holding part having a first through hole into which a supporting member of an automotive body side is to be inserted, a second holding part formed with a space between the first holding part and having a second through hole into which a supporting member of a muffler side is to be inserted, a pair of side parts connecting the first holding part and the second holding part at the both sides thereof, and a center connecting part positioned in the space between the first and second holding parts and integrally connected to each side part at the central portion thereof. According to the present invention, the muffler holding member has the center connecting part made of an elastic material and therefore, tensile and compression stresses are working in the center connecting part.