In this talk, we will discuss some recent development on multi-fidelity methods for solving a class of kinetic models with uncertainties and multiple scales. The Boltzmann equation, linear transport equation, Vlasov-Poisson equation, semi-classical Schrödinger equation and epidemic transport system will be studied. We will provide some formal error analysis. Many simulations will be presented to justify the robustness and accuracy of the numerical schemes. These are joint work with Lorenzo Pareschi,Xueyu Zhu and Guilia Bertaglia.