This paper concerns leader-following consensus problem of multi-agent systems with Markovian switching topology. In order to reduce the amount of transmission data and decrease the frequency of controller update simultaneously, a novel event-triggered control strategy is proposed. Partly information exchange among agents and channel noise are considered to describe the environment uncertainties in practical. It has been shown that by using the proposed control scheme, the overall agents could achieve H∞ leader-following consensus. Finally, an example is given to show the effectiveness of the main result.