Sky News said the U.S. group will pay a token sum of one pound to acquire BBA Libor Ltd, the company which has previously had responsibility for administering the London interbank offered rate, commonly known as Libor.
(Read More: Libor 'Must Be Based on Fact, Not Fiction': CFTC)
Thomson Reuters, which has calculated Libor on behalf of the British Bankers' Association (BBA) trade body, had expressed interest in taking on the running of Libor.
The Treasury, the Financial Conduct Authority (FCA), the BBA and Thomson Reuters declined to comment. NYSE Euronext was not immediately available for comment.
"We had a 'fox guarding the henhouse' issue here, and we should learn from that," Bart Chilton, a commissioner on the United States Commodity Futures Trading Commission, told CNBC. "I firmly believe that having a truly neutral third party administrator would be the best alternative, and I'm not sure that an exchange is the proper choice."
(Read More: UK Charges Ex-UBS Trader Hayes in Libor Investigation)
Last September, Martin Wheatley, the head of the FCA recommended changes to how Libor was set, governed and supervised. BBA Libor has been authorized and regulated by the FCA since April.