Abstract: The real-space renormalization group approach is used for quasi-periodic layered ferromagnetic super lattice in which a site with spin s_a or s_b,between layers the exchange energy are J₁ and J₂, which are arranged in quasi-periodic Fibonacci sequence, and exchange energy J₀ in each layer. When J₁=J₂=J₀, we obtained an exact decimation transformation for local magnons of layers α,β(γ) and б(τ)in the ferromagnets. Iteration of the transformation provides numerical results for the local density of states (LDOS) and the magnetization. We found the band widthes of LDOS of layers depend on J₁, J₂, s_a adn s_b.

Key words: quasi-periodic system, real-space renormalization group, Green'a function, Reduce