In this talk we will review some recent results on the construction and the analysis of exponential integrators [1] for kinetic equations of Boltzmann type. The main feature of the integrators is to provide asymptotic preserving explicit schemes with uniform high order accuracy for a wide range of time scales, ranging from the rarefied regime up to the continuum limit described by the macroscopic fluid equations. Applications to classical [2,3] and quantum [4] gas dynamics are considered both for deterministic approaches as well as stochastic techniques.