Effective actions for high energy processes in QCD and in gravity

In QCD and in gravity gluons and gravitons are reggeized and therefore one should reformulate these theories in terms of the reggeons and their interactions. We review the basic ideas of the BFKL approach in gauge models and describe the high energy asymptotics in the framework of the gauge-invariant effective action for the reggeized gluons. A similar generally covariant action for reggeized gravitons is formulated in terms of the effective currents satisfying a non-linear equation.