The power went off just after 7.30pm in the SN16 9GH, SN16 9HB and SN16 9HE areas following a mains fault.
A spokesman for Scottish & Southern Electricity Networks said: "We're sorry for the loss of supply. We currently have a fault affecting the areas listed.
"Our engineers are on site working hard to get the power back on as quickly as they can."
The spokesman said the outage affected intermittant supply and power was restored at 7.43pm.
If you need more information, please call 105 or send a message on Facebook or Twitter @ssen and quote reference GZ1099.