The research was developed a machine and tool workshop, which arises from the need to carry out facility layout problem (FLP) for two new production lines. The main objective is to optimize the path of the work object through the production departments, achieving a reduction of the total cost of transport, by applying distribution methods in the plant. It began with the research of the theoretical foundation analyzing the existing methodologies about the optimization of plant distribution, applied in productive organizations. The   workstations, as well as the necessary infrastructure, are identified in the production process with the dimensions of the workshop. A proposed plant distribution with a U-shaped material flow is developed due to the physical constraints of the workshop; complying with plant distribution principles and occupational safety and health standards for workers. Through the Systematic Layout Planning method and the Computer Relationship Design Planning method for each production line, considering that the main reason for relationship and closeness between departments is the productive flow. To contrast the results, the Computed Relative Allocation of Facilities method was applied to calculate the total cost of transport of the work object journey that was obtained from the distribution for each of the production lines