The present study investigates the wave blocking dynamics of viscoelastic floating VLFS. The study employs the viscoelastic foundation, the additional complexity through damping effects, leading to modified dispersion characteristics of the wave propagation in the presence and absence of current. The phase velocity and group velocity are computed for each case, providing insights into the propagation of wave phases and wave blocking. The comprehensive examination highlights the intricate interplay between wave dynamics and structural response, essential for applications in coastal engineering, offshore structures, and environmental modeling. Numerical simulations are employed to illustrate the effects of varying parameters, revealing significant differences in wave behavior across the studied scenarios. The findings underscore the importance of considering multiple factors in predicting wave interactions with elastic structures, ultimately contributing to the design and analysis of marine and coastal infrastructure.