Two types of TS 450 to 600 MPa grade hot rolled high strength steels have been developed whose strength increases by a post-deformation heat treatment. One is a nitrogen added steel, produced by a low temperature coiling method. This steel shows an increase in tensile strength by about 60 to 90 MPa after a conventional baking treatment. The other is a Cu-bearing steel, produced also by a low temperature coiling method. This steel shows much larger increase in tensile strength by about 200 MPa due to the precipitation hardening of copper, but it requires an additional heat treatment at a relatively high temperature such as 600° C.