<p>This paper discusses the design &amp; development, and application of the viscoelastic composite material to mitigate the structural vibration. High Impact strength with desired damping properties, with less weight &amp; cost, is required for defense and marine applications. It can be achieved by hybridization of composite materials and spraying the high-damping compound onto surfaces to dissipate the undesired vibrational and noise. A chronological review of damping treatments with viscoelastic material is described for structures. The damping treatment and techniques arrangement using viscoelastic composites to measure damping are presented. The comparative study of various viscoelastic models to study viscoelastic behavior is shown in this work. The various approaches to evaluate the effective properties of viscoelastic composites, including the micromechanical &amp; micromechanical method, empirical models, and differential scheme, are analyzed. The configuration, types of viscoelastic composites, and their structural applications are given. The investigation of the fiber-reinforced, hybrid, filled viscoelastic composites novel material configuration is emphasized here. The attempt to develop a mathematical and numerical model with the integration of damping qualities using finite elements is presented here. This work further explores experimental techniques related to viscoelastic composites and selection of reinforcement &amp; fillers, effect on the damping is presented here.</p>