A vibration reducing and connecting structure capable of providing a large vibration reduction effect against the forced vibration of a specified frequency. The structure (1) suppressing the transmission of the forced vibration from a main structure (10) to an auxiliary structure (11) comprises a plurality of elastic bodies (2) for connecting the auxiliary structure (11) to the main structure (10) through connection parts (2a), and dynamic vibration absorbers (3) having springs (31) connected to connection points (3a) roughly matching the connection parts (2a) on the auxiliary structure (11) side and having one ends connected to the connection points (3a) and weights (32) fitted to the free ends of the springs (31).