The invention relates to an arrangement in connection with the press section of a web-forming machine. The arrangement includes at least one press nip for dewatering the web manufactured on a web-forming machine. The arrangement also includes a smoothing press including a smoothing roll arranged after the press nip. The smoothing press includes smooth heat carrying devices arranged as a loop around at least two guide rolls. The smoothing roll is arranged into contact with the devices between two guide rolls. The smoothing roll and/or at least one of the guide rolls is a steam heated drying cylinder or a steam heated roll modified thereof. The invention also relates to a board or paper produced in such arrangement.