In this study, Authors proposed a new computational method for approximating the solution of linear and nonlinear time fractional Klein-Gordan equations in a fuzzy environment. Our approach, known as the Fuzzy Laplace-Adomian Decomposition method, involves using the Fuzzy Laplace Transform and an iterative process with Caputo fractional derivative to solve the equations with appropriate initial conditions. Our results demonstrate that this method effectively solves complex equations in a fuzzy environment and could help solve challenging problems in engineering and physics. Future research could focus on exploring the method's applicability to other types of equations in different fields.