This paper discusses how to achieve eye contact in teleconferences attended by two or three conferees through a "Private Display Method." This method, which allows several images to be simultaneously displayed on a single screen, makes it possible to achieve eye contact. Each conferee can see a unique image, which is captured by a camera, which effectively acts as a substitute for the conferee in a counterparts room. The unique image is selected by a duoble-lenticular lens from images from two or three projectors. The effectiveness of the private display method has been demonstrated by ray-tracing simulation and by using a 50 double-lenticular screen. A prototype teleconferencing system for two persons was constructed with the 50 double-lenticular screen, a semi transparent silver coated mirror, two projectors and two cameras. Eye-contact with all counterparts can be achieved with the prototype teleconference system. The private display method is a promising way of achieving eye contact in teleconferences attended by two or three conferees.