The invention discloses a production method of crack arresting steel for a container ship. Billets having different cross sections are selected for rolling according to different finished product widths, the rolling pass is reduced, and the reduction in pass is increased; as for planning arrangement, according to the characteristics that the rolling mode is special and the rolling frequency is slow, the time in a furnace is shortened through blank positions in a heating furnace, execution of a heating technology is ensured, and the surface quality is ensured; the heating process ensures the uniformity of a plate slab in the thickness direction; a rolling technology uses a full longitudinal rolling or full horizontal rolling manner as many as possible, and the effective compression ratio isincreased; and in order to refine grains, the intermediate billet is subjected to ultra-fast cooling, different cooling technologies are set according to specifications, and a finished steel sheet cooling technology is determined. A stable production technology for accurately and effectively producing the crack arresting steel can be realized, the stability of the production technology of the crack arresting steel meets the batch industrial production, the mechanical properties, the product quality stability and various indexes meet the standard requirement, and the production process is easyto control.