To perform vibration isolation while preventing breakage.

This vibration isolation structure 10 supports a heat insulator 12 to an exhaust pipe of an internal combustion engine. This vibration isolation structure 10 comprises: a plate 22 formed with an insertion hole 22b; a mounting member 13 inserted into the insertion hole 22b of the plate 22 to mount the heat insulator 12 to the exhaust pipe 14 to be capable of loosely moving; and grommets 21 each of which has a first locking part 21a for locking an outer edge of the plate 22 and a second locking part 21b for locking an opening inner edge arranged to the heat insulator 12. This vibration isolation structure 10 further comprises damping masses 20 each of which is locked to the second locking part 21b of the grommet 21 together with the opening inner edge of the heat insulator.