The shell and tube heat exchanger is one of the commonly used heat exchangers. Minimizing the cost required to manufacture these heat exchangers is one of the main objectives for designers and users. This study determined the necessary design parameters for a shell and tube heat exchanger to be manufactured with minimum cost using The Bees Algorithm (BA). These design parameters are the shell side inside diameter, the tube side outside diameter, and the baffle spaces. The system mathematical model is created to find the optimum values of these parameters, the necessary boundary conditions are determined, and an optimization study is carried out. The cost obtained by BA $ 11187.86 compared with GA $ 11190.17 and SPQ $ 18429.4 from the literature. It is observed that The Bees Algorithm (BA) gives successful results in the design of shell and tube heat exchangers.