Summary: We study the nonlinear boundary value problem consisting of the equation \[ y''+ w(t)f(y)= 0\quad\text{on }[a, b] \] and the multi-point boundary condition \[ y'(a)- \sum^l_{j=1} h_jy'(\xi_j)= 0,\quad y'(b)- \sum^m_{i=1} k_i y'(\eta_i)= 0. \] We establish the existence of various nodal solutions by matching the solutions of two boundary value problems at some point in \((a,b)\), each of which involves one separated boundary condition and one multi-point boundary condition. We also obtain conditions under which this problem does not have certain types of nodal solutions.