A composite rope obtained by process comprising, impregnating a multifilament with epoxy resin and half-setting the resin to form a prepreg, twisting the plural prepregs together to form a primarily-twisted product, and wrapping the primarily-twisted product with a yarn or a porous tape. When it is wound round the primarily-twisted product, the yarn is closely wound at an angle substantially perpendicular to an axis of the primarily-twisted product. The method further comprises twisting the plural primarily-twisted products thus wrapped to form a secondarily-twisted product and then heating the secondarily-twisted product to completely set the resin impregnated.