The development of new, cleaner technologies is presently receiving a lot of attention to capture pollutant CO₂ gas. 13X zeolite is one of the most popular adsorbents employed for this purpose. Batch and continuous fluidized beds were used to examine the adsorption capacity. Isothermal and kinetic models for the batch were determined at 1–5 bar and 298 K and 303 K pressure range and temperatures, respectively. The Langmuir model fitted the process with q_m = 4.01 mmol/g and a correlation R² = 0.986. Pseudo-first order was also fitted with a correlation of R² = 0.997. The impact of the inlet CO₂ concentration (5%, 10%, and 14%), the bed heights varied between (5, 15, 25) cm, with a flow rate range of (6, 10, 14) L/min at temperature 298 K and pressure of 0.5 bar (gauge pressure), was investigated by utilizing the area under the breakthrough curve in a continuous fluidized bed experiment. Lower flow rate (6 l/m), bed height (25 cm), and higher CO₂ initial concentration (14%) achieved the best results.