On the basis of Part I of this paper (Zhang X., Liu, H-Y, Mai Y-W, Diaox X. On steady-state fibre pull-out Part I: stress field. Composites Science and Technology, 1999; 59:219-89) we present an extended analysis for the single-fibre pull-out process. The solutions of fibre axial stress, fibre displacement, and applied pull-out stress versus fibre displacement are obtained for the whole pull-out process. As distinct from previous work (Gao Y-C, Mai Y-W, Cottrell B. Fracture of fibre-reinforced materials. ZAMP 1988; 39:550-72; Hutchinson JW, Jensen HN. Model of fibre debonding and pull-out in brittle composites with friction. Mechanics of Materials 1990; 9:139-63; Hsueh C.-H. Interfacial debonding and fibre pull-out rate, is adopted as a more realistic interface debonding criterion. Load/displacement curves of the fibre pull-out process, which includes elastic deformation with a fully bonded interface, elastic deformation with a partially debonded interface and elastic deformation plus friction sliding with a fully debonded interface, are obtained by computer simulations. The effects of fibre pull-out rate, thermal residual stress, friction coefficient and fibre volume fraction are also discussed.