We give brief introduction regarding the previous work which is done by different authors and an institution in different area of sustainability and similarly in an area of Life Cycle Assessment. Many methodology or concept is developed under the shadow of sustainability or after the development of sustainability and LCA, like design for sustainability in this section we describe how sustainability is also depended on design also. These methodologies also lead towards the concept an approach for innovation with its advantages and disadvantages. In this chapter we also discuss about Sustainable product development, Eco-design or Design for environment, Dematerialization and materials inputs per units of services. At last we also give a brief introduction for Life Cycle Assessment (LCA) and its importance towards this research work.