Universal joint is a type of joint which allows angular moments in any direction, and is commonly used in shafts that transmit rotary motion. It generally consists of two hinges located close together, oriented at 90° to each other, connected by a cross shaft. It is widely used in industrial applications and vehicle drivelines to connect misaligned shaft. Automobile industries are exploring composite material in order to obtained reduction of weight without significant decrease in vehicle quantity and reliability. This is due to the fact that the reduction of weight of vehicle directly proportional to the fuel consumption. In this project, it is proposed to design and analyse the Universal joint for the selected load condition. The failure of Universal joint occurs when the induced stresses exceed the permissible limit of the material, so it is necessary that design and analyse of Universal joint to withstand the working condition without failure. The modelling and Static analysis of the Universal joint will be done using PRO-E Creo 4.0 software. The same analysis is replicated for Steel, Cast Iron and Carbon reinforced epoxy composite. Based on the FEM analysis the best material will be recommended for the Universal joint.