The invention discloses a vibration-damping connecting structure for a compressor and a refrigerator baseplate. The vibration-damping connecting structure comprises a bolt, a press sleeve, a compressor foot baseplate, a rubber pad and a refrigerator baseplate. An inner hole is formed in the middle of the compressor foot baseplate. A vertically-communicated inner hole is formed in the middle of the refrigerator baseplate. A vertically-communicated inner hole is formed in the middle of the rubber pad. The press sleeve comprises an end face flange and a cylindrical section. A vertically-communicated inner hole is formed in the middle of the press sleeve. The rubber pad is in the shape of a stepped cylinder. The upper end of the rubber pad is of a cylindrical boss. The diameter of the rubber pad is slightly smaller than that of the inner hole of the compressor foot baseplate. The diameter of a cylinder of a main body of the rubber pad is larger than that of the inner hole of the compressor foot baseplate. The inner hole of the compressor foot baseplate sleeves the upper end of the rubber pad. The cylindrical section of the press sleeve is inserted into the inner hole of the rubber pad. The bolt is inserted into an inner hole of the end face flange and is fixedly connected with the inner hole of the refrigerator baseplate. The vibration-damping connecting structure has the advantages of few components, simplicity and convenience in mounting, long service life and the like.