Abstract : In the active anti-roll bar control on heavy vehicles, roll stability and energy consumption of actuators are two essential but conflicting performance objectives. In a previous work, the authors proposed an integrated model, including four electronic servo-valve hydraulic actuators in a linear yaw-roll model on a single unit heavy vehicle. This paper aims to design an H ∞ active anti-roll bar control and solves a Multi-Criteria Optimization (MCO) problem by using Genetic Algorithms (GAs) to select the weighting functions for the H ∞ synthesis. Thanks to GAs, the roll stability and the energy consumption are handled using a single high level parameter and illustrated via the Pareto optimality. Simulation results in frequency and time domains emphasize the efficiency of the use of the GAs method for a MCO problem in H ∞ active anti-roll bar control on heavy vehicles.