The present study aims to experimentally investigate the stability limit of lean premixed CNG/air mixture flames in a laboratory-scale swirl stabilized combustor with different bluff body shapes for two cases of air mass flow rates. Four different bluff body shapes, having tapered profiles and circular surface area are employed for the current study. These bluff bodies have different area ratios (0%, 16%, 40% and 60%) and are named as B00, B16, B40 and B60, respectively. Tapered profile of these bluff bodies ensures smooth flow around them without flow separation. Results show that the lean blowout limits slightly improve for the bluff body with a higher area ratio than the bluff body with a lower area ratio. The reason for this behavior is supposed to be the creation of an additional small recirculation zone in the wake of the bluff body, which results in additional flame stability along with the flame stability provided by the inner recirculation zone (IRZ) created by an expanding swirl flow. Flame flashback is also not observed within the operational range of the combustor.