ESB Networks have assured that all homes without power will have their supply "fully restored over the course of this evening".
It comes as thousands of homes lost power due to lightening strikes across the country overnight and into today, with a Status Orange warning in place until 10pm for several counties.
The network said lightning strikes caused a number of faults on the electricity network yesterday evening and early this morning.
As of 4pm this afternoon, the largest outage is in Gort, Galway, with 500 homes without power.
The ESB told thethat "cumulative numbers are fluctuating in the low thousands as crews repair faults and lightning damage causes further outages" this afternoon.
It was added that further weather-related outages "can be expected" as the situation is monitored closely.
"All homes, farms and businesses currently without power will have their supply restored over the course of this evening," the ESB stated.
The largest single outage was in Castlecomer Co Kilkenny where 5,000 customers lost power at 5am this morning, with power restored by 6.30am.
Another large outage occurred in Limerick where 1,200 customers in Ahane lost power.
Other smaller pockets of customers have been impacted and ESB said crews have been mobilising rapidly to restore power quickly where weather-related faults occur.
The thunderstorms have also affected trains in Cork, with the Cork to Tralee service being impacted. Irish Rail said: "Thunderstorms have caused damage to the signalling system around Mallow. Passengers travelling on Cork and Tralee services will experience a delay of approx. 45 minutes."
An updated status orange thunderstorm warning came into effect at 9am for Munster, Dublin, Wexford, Carlow, Kilkenny, Laois, Offaly, Kildare and Wicklow.
The warning will remain in place until 10pm tonight.
These areas can expect thunderstorm activity but due to the sporadic nature of the storms, not all areas will be affected.
There will be heavy downpours of rain and hail in places and there is a high chance of flooding in areas where heavy downpours occur.
The thunderstorms follow a long spell of hot, dry weather across the country which saw temperatures above 30C in several parts.
Met Éireann said on Monday that for the second consecutive day, the all-time maximum temperature in Ireland for August was provisionally broken.
Data from the climate station in Durrow, Co Laois reached 32.1C on Saturday. If verified, it would surpass the record of 31.7C set on Friday at Oak Park, Co Carlow.
The forecaster said seven of its weather stations recorded heatwaves over the past week.
Stations in Carlow, Cork, Dublin, Meath and Tipperary all got temperatures in excess of 25C for five days.
Six days were recorded in four of those counties.
Emer Flood of Met Éireann says that the arrival of the thunderstorms marks the end of the heatwave.
She said temperatures will be noticeably cooler today with highs of between 15C and 17C.
"There will be sunshine at times this week but it is definitely the end of our hot weather," said Ms Flood.
"You are looking at temperatures in the mid- to high-teens for the rest of the week, maybe reaching the low 20s locally at times."
Tonight, showers are expected to die out in the south leading to a mostly dry night with lowest temperatures between 10C to 14C.
Tuesday will be quite cloudy with scattered light showers though many areas will have a dry day.
The dry conditions will continue through Wednesday with cloud and sunny spells in the morning with more widespread hazy sunshine developing in the afternoon.
The rain will return once again on Thursday with a band of rain - which could turn heavy at times - crossing the country through the day.
This will be followed by scattered showers through the evening.