Abstract. In light of recently stirred energy consumption concerns, we investigate the opportunities for power consumption reduction in Grids. Considering real life Grid traces, we note considerable fluctuations in load. We consider a peak load dimensioning strategy to derive how much servers to install in computational Grids. In lower loaded periods, there is a potential to save energy by dynamically powering on/off servers to address the actual demand for computational capacity. An appropriate scheduling and power-saving scheme can, under such lower-load conditions, considerably reduce energy consumption. The price paid is that some jobs are executed at sites more remote than closer powered-down ones. Yet, the resulting penalty in consumed bandwidth is rather limited and is expected not to cancel the power consumption advantage. Key words: Grids, Green ICT, Power-awareness, Grid scheduling.