Summary: In this paper, we are concerned with the \(p\)-Laplacian multi-point boundary value problem \[ \begin{aligned} (\phi _{p}(x^{\prime\prime}(t)))^\prime= & {} f(t,x(t),x^\prime(t),x^{\prime\prime}(t)),\,t\in (0, 1),\\ \phi _{p}(x^{\prime\prime}(0))= & {} \sum _{i=1}^{m}\alpha _{i}\phi _{p}(x^{\prime\prime}(\xi _{i})),\\ x^\prime(1)= & {} \sum _{j=1}^{n}\beta _{j}x^\prime(\eta _{j}),\;x^{\prime\prime}(1)=0, \end{aligned} \] where \(\phi _p(s)=|s|^{p-2}s,~p>1, \phi _{q}=\phi _{p}^{-1}, \frac{1}{p}+\frac{1}{q}=1, f: [0, 1]\times \mathbb R^3\rightarrow \mathbb R\) is a continuous function, \(0<\xi _{1}<\xi _{2}<\dotsm<\xi _{m}<1\), \(\alpha _{i}\in \mathbb R\), \(i=1,2,\dots, m\), \(m\geq 2\) and \(0<\eta _{1}<\dotsm<\eta _{n}<1\), \(\beta _{j}\in \mathbb R\), \(j=1,\dots, n\), \(n\geq 1\). Based on the extension of Mawhin’s continuation theorem, a new general existence result of the \(p\)-Laplacian problem is established in the resonance case.