The atmospheric capture of CO₂ was proposed to offset past and future emissions from small distributed sources or past emissions from all sources. The objective of this study is to develop a feasible process to capture 300 Mton of CO₂ from the atmosphere, annually, and to integrate the proposed process into an integrated Carbon Capture and Storage system (CCS). Thermal Swing Adsorption (TSA) was proposed as a separation technology to strip CO₂ from the atmosphere by using Zeolite 13X as an adsorbent. A technically feasible design of the overall plant was presented for two locations, Vostok and Atacama, with an estimate of the capital and operating costs for each location. The total cost of the proposed system in 2010 US dollars was 50 $/tonCO₂ for Vostok and 200 $/tonCO₂ for Atacama. The proposed atmospheric CCS is considered technically and economically feasible if certain conditions are met.