Terminal area is very important airspace resource due to the limited capacity. Because several arrival traffics from different origin airport merge at arrival fix, the queue for arrival stream generally is formed at arrival fix and the inherent delay is propagated further out. Moreover it leads that arrivals do path stretching and speed adjustment to absorb that delay with consuming much more fuel than it was required. However this developed delay is often not distributed evenly, therefore some fixes experience unbearable delays while other fixes might idle. In this paper, we suggest a new approach to assign fix to resolve this issue while minimizing total consumed fuel and environmental impact in terminal airspace. The proposed model assigns arrival and departure fix for each arrival and departure respectively, considering the fix and runway capacity constraints. The proposed optimization model is beneficial to improve terminal area efficiency and local environment. In addition, this model functions more effectively at severe weather condition when existing unbalanced traffic demand.