In this paper, we investigate the existence of positive solution for a class of singular third-order boundary value problem associated with a Φ-Laplacian operator and posed on the positive half-line: <img border=0 width=657 height=130 src="http:/fbpe/img/cubo/v16n1/art10-01.jpg"> where μ > 0. By using the upper and lower solution approach and the fixed point theory, the existence of positive solutions is proved under a monotonic condition on f. The nonlinearity f may be singular at x = 0. An example of application is included to illustrate the main existence result.