The wind warnings that were in place for different parts of the country have been lifted.
At the height of Storm Hannah, the highest average wind speed recorded was 93 kilometres an hour at Mace Head in Galway.
That area also had the highest gust of 122 kilometres an hour.
Met Eireann's Siobhan Ryan says winds peaked late last night and the early hours of this morning.
33,000 homes, farms and businesses are still without power after Storm Hannah.
ESB Networks says the worst affected areas are in Munster. But there are some areas of Mayo without electricity - in Ballinrobe over 600 customers are without power - there is no current estimated restoration time as of yet. There are also around 200 homes still without power in Louisburgh area, with an estimated restoration time of 1.30pm.
Clare and Kerry have the highest number of outages, with 19,000 customers affected.
Derek Hynes, from ESB, says crews have been out since first light this morning to being restoring power supply.