In an effort to lessen vibration-related syndromes, a lightweight, stiff hybrid composite is being created, with potential applications in the design of acoustic buildings, hand-held instruments, lightweight constructions, and surgical tools. In order to reduce vibration, new hybrid materials are created. Dynamic testing is conducted on a hybrid composite made by hand layup that combines natural and synthetic fibres. Using the Fast Fourier Method, the eigenvalues, Eigen modes, and damping ratio are being calculated (FFT). When bonded with e-glass, it has been discovered that jute and hemp hybrid composites exhibit underdamped properties and attenuate vibration much more quickly than the other hybrid composites. Its damping ratio is also discovered to be less than one i.e., ξ<1. In vibration attenuation-related applications where quick structure-borne noise needs to be mitigated, this result validates the initial requirement. The two hybrid composites mentioned above were revealed to have the highest eigenvalue of 301.577 Hz. Designing, improving, and mitigating vibration-related syndrome in hybrid composite structures can be done using the results of the current study.