A process for manufacturing a cold-rolled steel sheet with a strength of at least 1200 MPa and an elongation at break greater than 10%. A steel is provided having a microstructure comprising 65 to 90% bainite. A semifinished product is cast from the steel and heated to a temperature greater than 1150° C. The semifinished product is hot rolled to obtain a hot-rolled sheet; the coiled and pickled. Cold-rolling occurs with a reduction ratio of between 30 and 80% so as to obtain a cold-rolled sheet; and then reheating occurs at a rate Vc between 5 and 15° C./s up to a temperature T1 between Ac3 and Ac3+20° C. and held at said temperature T1 for a time t1 between 50 and 150 s. The sheet is cooled at a rate VR1 greater than 40° C./s but below 100° C./s down to a temperature T2 between (Ms−30° C. and Ms+30° C.). The sheet is maintained at temperature T2 for a time t2 between 150 and 350 s, and then cooled at a rate VR2 of less than 30° C./s down to an ambient temperature.