The main factors influencing on the level of residual stresses in hot rolled steel strips are related with uneven temperature and microstructure changes during cooling on the run-out table and in a coil. That is why in this work, development of coil cooling model with taking into account the influence of radial stresses on the effective thermal conductivity in the radial direction was performed. In order to assess the influence of the phase transformations in the coil on the level of residual stresses, the different laminar cooling strategies were applied. The results of numerical simulations obtained in this work were validated in industrial conditions. It is shown that the end of phase transformations in the strip coil has a significant influence on the level of residual stresses.