The utility model discloses a meshy vibration reduction structure for stay cables. The meshy vibration reduction structure comprises M sets of shock absorbers which are evenly distributed on the same cable-stayed bridge cable face, and each set of shock absorbers comprises N shock absorbers which are arranged on the same straight line. The cable-stayed bridge cable face is formed by 2N stay cables which are connected between a main beam and a cable bent tower of a cable-stayed bridge, and the 2N stay cables are arranged in parallel. The M sets of shock absorbers are arranged in a radial shape and form a meshy stay cable vibration reduction system. The 2N stay cables are divided into N sets from top to bottom, each set of stay cables comprises two stay cables which are adjacent to each other up and down, and the N shock absorbers in each set of shock absorbers are connected to the N sets of stay cables respectively. Each shock absorber comprises a curb chain and an elastic outer sleeve column which covers the outer side of the curb chain, wherein the two ends of the curb chain both stretch out of the elastic outer sleeve column, and the two ends of the curb chain are each provided with a buckle device which is clamped on the corresponding stay cable. The meshy vibration reduction structure for the stay cables is simple in structure, reasonable in design, convenient to construct, good in using effect and capable of effectively weakening the vibration of the stay cables.