1. A system for selecting objects on a screen comprising: a display means for displaying objects on a screen, a substantially pen-shaped pointing means for pointing to a position on a screen, a detection means for detecting both the plane position of the point of said pointing means and the distance between the point of said pointing means and the screen of said display means, and a control means for displaying a plurality of objects on the screen of said display means, said control means displaying objects in an enlarged form on said screen in a predetermined enlarged image area containing the predetermined position on the screen corresponding to said plane position when the distance detected by said detection means is less than or equal to a first predetermined value and greater than a second predetermined value, said second value being smaller than said first predetermined value, said control means fixing the enlarged objects displayed in said enlarged image area regardless of the change in plane position detected by said detection means when said distance detected by said detection means is less than or equal to said second predetermined value, and said control means selecting the object at the position on said screen pointed to by said pointing means when a selecting action is taken.