A vibration damping device (10) for a sports racquet, such as a common tennis racquet (50), having sets of interwoven strings (71) defining a striking surface (70) generally comprises an elongated elastic flexible band (20) and securing hooks (40) slidingly attached from the side to the band's ends (21,22) for securing the band (20) in a stretched interwoven relationship with a plurality of strings (71) on the racquet striking surface (70). A plurality of U-shaped channels (30) are each adapted for receiving an interwoven string (71).