Norwegian will also operate one route from Bradley, New England's second largest airport, to Edinburgh.
Flights from Bradley will fly to Edinburgh, while the airline will offer trips from Stewart International to Dublin, Shannon, Belfast and Edinburgh.
The airline has already released flights from Edinburgh, Dublin, Cork and Shannon to the U.S. for as little as £69. Flights start taking off this summer.
The new transatlantic routes will be operated on brand new Boeing 737 MAX aircraft.
The twice weekly flights from €69 one-way are among 19 transatlantic flights from Shannon, Cork and Dublin.
Flights between Shannon and Stewart begin on July 2 with twice-weekly flights and from Providence on July 3 with twice-weekly flights.
New Yorkers can now buy plane tickets to Europe for under $100.
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Norwegian is stressing that its fares will start "from £69".
The new services will give Shannon its biggest number of direct scheduled U.S. flights and have been welcomed by the airport.
Tickets are on sale now.
All flights will run numerous times each week, with the service between Edinburgh and NY running every day. These will be used to launch the new low-priced routes. Or they can pay a $70 bundled fee for a checked bag, meal and specific seat.
"The wait is finally over for Americans who have been eagerly waiting for Norwegian to launch the cheapest nonstop transatlantic fares", Lars Sande, the airline's vice president of sales, said in a statement. They will launch on June 15, June 16 and June 17 respectively. Airlines, buoyed by an improving economy and low fuel prices, are adding flights across the county and especially into smaller, underserved airports like Bradley.
One of the biggest attractions is that Norwegian will be using a fleet of new Boeing 737 Maxs, the first airline to feature it, and a coup since operating costs are around 8 per cent lower than Boeing's comparable airplanes.
Meanwhile, growing low-priced competition on transatlantic flights has shaken up more established rivals.
"These new transatlantic routes from Edinburgh builds on the success of our long-haul flights from London into major United States cities as we're now able to offer passengers an even greater choice of affordable travel to the U.S.".