The main objective of this paper is to present the model of rivet joints for numerical design calculations. The spring model, advantages, validation, and verification of the Compound-Based Finite Element Method (CBFEM) for predicting the strength of rivet joints are presented. The CBFEM has become the most widely used method for analysing and designing joints in steel structures. It is the combination of the analytical component method for components, rivets and the numerical finite element method (FEM). FEM is used to solve the distribution of internal forces within the connection. The plates are modelled using four-node quadrangle shell elements. The dependent nonlinear springs are used to describe the behaviour of components, bolts, welds or anchor bolts. Each component, product, has its analysis model derived from its behaviour. In the case of rivets, the shear force is transferred by friction between the two surfaces. Compared to normal bolts, the friction is controlled by the preload force. The final resistance is ensured by the shearing of rivets and the bearing of rivets and plates after the slipping of a plate. Class 8.8 and 10.9 preloaded bolt models are summarised in the further models. These models have been used for rivets, with their material properties, until now. In this paper, the CBFEM is applied to analyse the rivets. An experimental study of this joint has been conducted and reported in numerous papers. Then, the resistance of steel joints is calculated by the design specifications such as EN1993-1-8:2006. Validation compares the analytical and numerical solutions with the experimental data, while verification uses the comparison of computational solutions with high-accuracy analytical or numerical solutions.