In this paper, a novel nature-inspired optimization algorithm based on the navigation strategy of Moths in universe called the Moth-Flame optimization (MFO) Algorithm, is applied for constrained optimization and engineering design problems. A comparative analysis of MFO algorithm expresses the optimum functional value in term of accuracy and standard deviation over rest of well-known constraint optimization algorithms. Five constrained benchmark function of engineering problems have been calculated and gained solutions were compared with other recognized algorithms. The gained solution expresses that MFO algorithm provides better results in various design problems compared to other optimization algorithms.