This chapter introduces the systematic synthesis of mechanisms, focusing on two stages: number and type syntheses. It starts with defining structural and design requirements and explains how these criteria guide the selection and configuration of links and joints. Number synthesis is detailed through combinatorial approaches to determine how many links and joints are required to achieve a specified function. Type synthesis then explores selecting appropriate kinematic pairs—such as revolute, prismatic, or cam pairs—to fulfill the required motion within those configurations. Practical examples and exercises reinforce the enumeration and classification of feasible mechanisms. The chapter concludes by situating number and type syntheses within the broader design methodology, linking them to preliminary and conceptual design stages. By establishing a structured approach to mechanism configuration, this chapter helps students and engineers systematically transition from a functional requirement to a viable mechanical layout.