A stairlift for conveying a load along a staircase rail includes a rail, a carriage carried by the rail and moveable along the rail, a carriage drive to drive the carriage along the rail, a load carrier support supporting a load carrier, such as a chair or wheelchair platform, which load carrier support is rotatably connected to the carriage to rotate about a horizontal axis, a rotation device to rotate the load carrier support relative to the carriage about the horizontal axis, and a control unit to control the rotation device such that the load carrier support is positioned in a desired orientation relative to a horizontal plane. The rotation device includes a motor and a rotator, where the motor is operatively connected to the load carrier support via the rotator to cause rotation of the load carrier support relative to the carriage about the horizontal axis.