In this article, the generalized F-Frobenius-Euler polynomials H (α) n,F (x; µ) are introduced, through their generating function, and properties are established for these generalized polynomials.In addition, we define the generalized polynomial Fibo-Frobenius-Euler matrix H (α) n (x, F, µ).Factorizations of the Fibo-Frobenius-Euler polynomial matrix are established with the generalized Fibo-Pascal matrix and the Fibonacci matrix.The inverse of the Fibo-Frobenius-Euler matrix is also found.