The paper considers the elastostatic axisymmetric problem for a long thick-walled cylinder containing an axisymmetric circumferential internal or edge crack with cladding. The cladding is assumed to be bonded to inner wall of the hollow cylinder. Using the standard transform technique, the problem is formulated in terms of an integral equation of the first kind which has a generalized Cauchy kernel as the dominant part. The integral equation is solved numerically by using appropriate quadrature formulas. The related stress-intensity factors are calculated for the hollow cylinder with cladding under axial load. The influence of the geometrical configuration and the cladding on the stress-intensity factors is shown graphically. (C) 2002 Elsevier Science Ltd. All rights reserved.