Accelerated carbonation is a technique that can be used as a CCS technology for $CO_2$ sequestration of approximately 5~20% in a stable solid through the precipitation of carbonate. An alkaline inorganic waste material such as ash, slag, and cement paste are generated from incinerators, accelerated carbonation offers the advantage of lower transport and processing costs at the same generation location of waste and $CO_2$. In this study, we evaluated an amount of $CO_2$ sequestration in various types of inorganic alkaline waste processed by means of accelerated carbonation. A quantitative evaluation of $CO_2$ real sequestration based on a TG/DTA analysis, the maximum 118.88 $g/kg_{-waste}$ of $CO_2$ in paper sludge fly ash, the maximum 134.46 $g/kg_{-waste}$ of $CO_2$ in municipal solid waste incinerator bottom ash, the maximum 9.72 $g/kg_{-waste}$ of $CO_2$ in industrial solid waste incinerator fly ash, and the maximum $18.19g/kg_{-waste}$ of $CO_2$ in waste cement paste.