The object is to eliminate the difference in offset of work rolls at the upper and lower and left and right of the rolling mill occurring in the kiss roll state of the zero point adjustment work before rolling or during rolling and eliminate the problem of warping of the flat products or meander or camber due to the thrust force acting between the work rolls and backup rolls.For this, there are provided a rolling mill for flat products having a pair of upper and lower work rolls driven by electric motors, a pair of upper and lower backup rolls contacting the work rolls and supporting the rolling reaction force applied to the work rolls, and devices for applying substantially horizontal direction external forces to the upper and lower work rolls, the rolling mill for flat products characterized in that a direction of horizontal direction external forces applied to the work rolls is the same direction as the horizontal direction force component of the rolling reaction force applied to the work rolls due to the rolling direction offset and in that the horizontal direction external forces applied to the work rolls are supported by rolling mill housing project blocks or work roll chock support members, and a rolling method for flat products using the same.