In this article, the existence of solutions for fully nonlinear Kirchhoff-type problem −M (∫ (Φ (|∇u|) + Φ (|u|)) dx ) [div(a(|∇u|)∇u) + a(|u|)u] = λ∑ki=1 (tqi(x)−1 − tri(x)−1) is proved via variational method. Finally, some new problems are introduced