Many are being told to wait until tomorrow to see power fully restored.
Over 2,000 customers across the midlands are still without power following Storm Debi.
That includes almost 900 premises in the Mullingar area, and 464 in the Moate area.
Most people in the region will have to wait until midday tomorrow to see power fully restored.
This morning, over 8,000 people in the region were experiencing outages due to the weather.