One of the important components of the engines in the vehicles is the engine bracket. The bracket is designed to take up the load of the engine in static and dynamic conditions. Brackets from different sides of the vehicle support the vehicle engine. The bracket is designed according to the shape of the engine for different vehicles. The work done in the paper is about the modal analysis of the bracket arm used for different vehicles. A finite element analysis comparison of the conventional and topology-optimized bracket is made for a von Misses stress and deformation vehicle. Then, to check the engine bracket's dynamic analysis, the modal analysis is done. Second order differential equation is used for theoretical calculations, then the results are compared with the computational result. Additive manufacturing is done to check the design of the topology-optimized part.