Abstract.This paper uses the Sine-collocation method to solve singular Poisson-like problems (a first-or higher-order partial derivative of the exact solution is unbounded on the boundary). A linear system is obtained which is the same as that obtained by using the Sinc-Galerkin method. With a smart choice of the stepsize and the number of the gridpoints, the orthogonalization technique is successfully applied to solve the linear system obtained, and a numerical approximation is obtained with an exponential accuracy 0(exp(-c/Vi)), where N is a truncation parameter and c is a constant independent of N .