In this paper, the method of flight and movement of Martial Eagle (Polemaetus Bellicosus) for hunting prey is used to design and Meta-Heuristic (MH) algorithm called Martial Eagle Optimizer (MEO). Martial Eagle is a large hunting bird of the falcon category, which lives in southern Africa. Its prey is very diverse and varies according to its habitat, including birds, reptiles and mammals. The Martial Eagle is even capable of hunting young pythons, baboons and other monkeys, and small deer. The optimization process by the proposed MEO is performed in three stages, two stages are related to the ExploRation Phase (ERP) and one stage is related to the ExploItation Phase (EIP). These steps are selecting the Search Space (SS) by soaring high, flying and moving along the horizon, and bending vertically in the ERP. Logarithmic spiral movement, vertical bending attack, vertical landing, and grabbing the prey are mechanism to achieve EIP the proficiency of MEO is tested using test functions as well as several engineering issues. The comparative results demonstrate that the MEO performs better than the existing algorithms, both in terms of achieving the final solution and reducing the number of Objective Function recalls.