The invention relates to a method of and an arrangement for controlling the cursor movement on a computer display by means of a pointing device such as a mouse. The mouse driver, which is installed in the computer, converts the manually caused movement of the ball of the mouse to a corresponding scaled movement of the cursor on the display. In accordance with the invention, the mouse driver has a first mode, in which the cursor is moved on the display only as long as the mouse ball is in movement and only a distance that is directly proportional to its travel, and a second mode which is activated when a predetermined one of the control buttons of the mouse is activated and in which the movement of the cursor that is caused by a short movement of the mouse ball is continued in the same direction after the movement of the ball has stopped until said predetermined one of the control buttons is released, the cursor reaches the edge of the display or a new direction of movement is initiated by a movement of the mouse ball.