Method of producing a steel sheet for cans

A method of producing a steel sheet for cans, the method comprising:

• performing a hot rolling process of heating a steel slab at 1200° C. or more, the steel slab having a chemical composition containing, in mass %, C:
• 0.010% or more and 0.130% or less, Si:
• 0.04% or less, Mn:
• 0.10% or more and 1.00% or less, P:
• 0.007% or more and 0.100% or less, S:
• 0.0005% or more and 0.0090% or less, Al:
• 0.001% or more and 0.100% or less, N:
• 0.0050% or less, Ti:
• 0.0050% or more and 0.1000% or less, and Cr:
• 0.08% or less, and satisfying a relationship 0.005≤(Ti*/48)/(C/12)≤0.700 where Ti*=Ti−1.5 S, with a balance including Fe and inevitable impurities;
• rolling the steel slab at a finish rolling temperature of 850° C. or more to obtain a steel sheet, coiling the steel sheet at a temperature of 640° C. or more and 780° C. or less;
• and thereafter cooling the steel sheet at an average cooling rate from 500° C. to 300° C. of 25° C./h or more and 55° C./h or less;
• performing a primary cold rolling process of subjecting the steel sheet after the hot rolling process to cold rolling with a rolling reduction of 86% or more;
• performing an annealing process of heating the steel sheet after the primary cold rolling process at an average heating rate to 500° C. of 8° C./s or more and 50° C./s or less, and thereafter holding the steel sheet in a temperature range of 640° C. or more and 780° C. or less for 10 sec or more and 90 sec or less;
• and
• performing a secondary cold rolling process of subjecting the steel sheet after the annealing process to cold rolling with a rolling reduction of 0.1% or more and 15.0% or less.