The object of the present paper is to study a type of quater-symmetric metric connection in a 3-dimensional Kenmotsu manifold. We study some curvature properties of a 3-dimensional Kenmotsu manifold with respect to the quarter-Symmetric metric connection.Finally,we construct an example of a 3-dimensional Kenmotsu manifold to verify the results. © 2010 AZJM All rights reserved.