This paper aims at analyzing the importance of sustainable development since its origin and evolution until nowadays. In addition the paper sorts out the three classic pillars of sustainable development and the paramount principles that support the pillars of sustainability. Furthermore such study addresses the solid waste policy in Brazil, introduced by the law 12.305/2010 in order to make a link of the need to solve one problem that impacts the achievement of sustainable development. The solid waste is a great problem in the cities all over the world and in Brazil it is not different. The law sets principles, objectives and its main legal institutes in accordance with the sustainable development that is discussed in this work. Eventually the paper deals with outcomes of the law application after four years that it was published and whether its main pillars have been put into practice to achieve the sustainable development.