We propose a new 3D display using single high-speed projector and undulating screen which is thin and flexible. Traveling waves are generated on the screen. The proposed display enables to display 3D image by scanning light beam from the projector with the traveling waves. The principal aim of this proposal is producing a large screen 3D display which enables multiple viewers to see 3D image without special glasses. In previous studies, large screen 3D displays using many projectors are proposed. However, as number of projectors are large, it is difficult to install and adjust them. On the other hand, a large screen 3D display using single high-speed projector exploiting time-division multi-plexing is proposed. To scan the light beam from the projector, the screen of the display swings around vertical axis direction. Moreover, the screen is split vertically for reduce moment of inertia. Each strip of screens need power transmission mechanisms. Many mechanisms make apparatus large scale and complex. Our new system makes apparatus simple because all over the screen is controlled with single driving method. To confirm the principle of the proposed method, we conducted a computer simulation and confirmed that proposed system displays 3D image which has appropriate parallax.