This paper describes about the timeaxis design which is a new paradigm of design introducing a concept of time axis into design theory and methodology. Moreover, its social meaning along with its position in science are outlined, and a value growth design, and an unsteady and nonequilibrium system design, which are application of the timeaxis design, are described. As a means for realizing of these designs, a bio-inspired technology and service technology are described. Additionally, timeaxis models, which consist of an unsteady model, a plastic model, and a multi-time scale model, and a gray-box model as an integrated model for decision-making used for a timeaxis design are introduced. Finally, a new possibility by using the timeaxis design is indicated.