Abstarct: The flying ad hoc networks (FANETs) are composed of unmanned aerial vehicles (UAVs), which are proposed as a promising technology in future network systems due to the diversity and adaptivity of uavs. Rapid and frequent topological change is one of the most distinctive features of FANET networks, which is caused by their high speed and mobility; therefore, managing adaptive topology with drone movements and finding their optimal locations is one of the most important issues in FANET networks. Finding the optimal location of uavs has attracted much attention among researchers to solve the node placement problem of these complex networks. In the past decades, due to the complexity and difficulty of the relay node placement problem, many researchers just tried to solve this problem in purely static networks without considering topological changes such as wireless sensor networks. In this thesis, the issue of topology management of FANET networks is investigated baxsed on their topology changes, in which the location and movement of uavs are optimized to heighten the network performance. The routing protocol is considered as an arbitrary function during problem modeling; because the network performance is completely related to the utilized routing protocol. Two algorithms were developed in this research. The first algorithm was developed to construct the topology of FANET networks by using the primary problem information and baxsed on particle swarm optimization (PSO) algorithm. The second algorithm was developed to adjust the network topology, which gradually adjusts the movements of uavs using the gradient descent algorithm. Finally, by defining the topology edit distance that measures the degree of topology changes of ad-hoc networks, an integrated topology management algorithm was developed by considering both algorithms for constructing and adjusting the topology in FANET networks. The simulation results indicated that the integrated topology management algorithm can show proper performance with a low computational load, which is considered as one of the most important aspects of topology management algorithms in rapidly changing topology in FANET networks.