Dynamic mechanical analysis (DMA) is a helpful technique in the evaluation of natural fiber composites (NFCs) for investigating the viscoelastic behavior with respect to time, temperature, and frequency and calculating the phase shift. The authors have previously studied the DMA behavior of reinforced composites made of single (mono) and synthetic fibers. In this work, the DMA responses of bio composites, nanocomposites, and hybrid natural fiber composites are compared, and the factors influencing the responses are evaluated. Fiber loading, filler addition, fiber treatment, fiber stacking, and matrix all affect how viscoelastic NFCs behave. Previous investigations have indicated that the ranges for the storage modulus are 2000 MPa to 5800 MPa, the loss modulus is 150 MPa to 450 MPa, and the tan δ is 0.2 to 0.6. The nanocomposite's mesh reinforcement improves the interaction between all of its constituent parts, which raises the storage modulus. More specifically, because of the better component-to-component contact in nano composite, the mesh size of the reinforcement improved the storage modulus. This review study has contributed to a broad understanding of the viscoelastic behavior of fiber composites utilized in automobile, aerospace, building science, housing, textile, and food packaging applications.