Multiple cracking of a coating layer and its influence on the tensile strength of the coated fibre in the case of strong interfacial bonding were simulated by means of a Monte Carlo method. Within the range where the coating layer was weak, it was found that the weaker the coating layer, the larger became the number of cracks and consequently the smaller became the crack spacing, resulting in higher strength of the fibre. When the strength of the layer was high, however, the crack spacing became large, resulting in a low strength of the fibre comparable to the strength for the case of single cracking. The strength value of the fibre calculated for average crack spacing gave an upper bound, and that calculated for single cracking a lower bound, for the actual fibre strength.