In this article, we study the higher-order differential equation (公式略)subject to one of following multi-point boundary value conditions (公式略) and (公式略)We establish sufficient conditions for the existence of at least one solution of the BVP(∗) and (∗∗) and BVP(∗) and (∗ ∗ ∗) at resonance and another at non-resonance (Theorems 2.1, 2.2, 3.1, 3.2), respectively. Especially, we establish sufficient conditions for the existence of positive solutions of above BVPs (Corollaries 3.1 and 3.2). The emphasis in this paper is on the fact that f depends upon all higher-order derivatives.