Industrial applications of LED (light-emitting diode) technology for the streets, terminals, stadiums etc. luminaires are taking more and more important role in lightning industry. Even though LED luminaires are much more energy efficient than traditional lighting however these luminaires are exposed to high temperature influence. In this work the luminaire body cooling is investigated at variable environmental conditions such as wind speed, direction and ambient temperature. Properties of the cooling fins of luminaire body are investigated using FEA models as well as appropriate metamodels. Numerical procedures of the cooling fins robust shape optimization will be discussed in details.