About 581 homes and businesses are still without service. That's down from about 36,000 at the height of Wednesday's storm.
The state's largest utility, PSE&G, has fewer than 300 homes and businesses still without service.
Jersey Central Power and Light has restored power in central New Jersey. The utility is working to reconnect 281 customers in northern New Jersey, mainly in Hunterdon County.
Officials hope to have repairs finished by the afternoon.
