The use of natural gas as a source of energy is widely known. Before it is processed to be a sale gas, the water content in the natural gas should be reduced to 200 ppmv in low pressure level, as water is corrosive in the pipeline. This work was carried out after several configurations in the dehydration unit had been simulated to find the best one in terms of the total annual cost. (Affandy et al, 2020; Affandy et al., 2017). The dehydration unit considered consists of a TEG (triethylene glycol) contactor and TEG regenerator. The contactor is used for dehydrating natural gas, where the water is absorbed using TEG solution while in the regenerator the water is desorbed by using stripping gas to increase the purity of TEG so as to absorb water in the TEG contactor. A new configuration was proposed in this paper. The configuration consists of a packed column in the TEG contactor on one hand, and a coldfinger and the recycled flare gas in the TEG regenerator on the other hand. The results showed that the new configuration had a total annual cost of US$ 212.829 × 103 per year. This indicated that the total annual cost of this configuration was lower than that of the base case where there were no coldfinger and recycled flash gas used. The reduction of total annual cost from the base case was about 33.3 %.