Summary: This paper explores the utility of a discrete singular convolution algorithm for vibration analysis. A number of different realizations of singular convolution kernels are selected to illustrate the present algorithm. Vibration analysis of strings, rods, beams, diatomic molecules, membranes, waveguides and thin plates are utilized to test numerical accuracy and speed of convergence of the present approach. Numerical experiments indicate that the discrete singular convolution is a simple and reliable algorithm for vibration analysis.