Risk is a natural and common phenomenon in enterprises. Elimination of risk is impossible, because it affects every decision. In order to manage a company effectively, the risk level should be taken into account at the stage of production planning and manufacturing process control. The paper describes a method for analyzing and assessing the risk in a parallel production system. Under this method it was proposed to use Failure Mode and Effects Analysis (FMEA) in the classic method for assessing the risk in a production system with a parallel structure. Such a combination allows determining the level of risk in a system without laborious evaluation of the amount of losses caused by the occurrence of risk factors in individual elements of the system.