The first store is expected to open in New York within weeks, according to The Daily Telegraph, and more stores will follow in major US cities.
The company is entering the market in partnership with Best Buy, as part of a tie-up that Carphone chief executive Charles Dunstone is said to believe is a low-cost, low-risk way of exploring the potential market.
The deal is the second partnership between the two businesses, which announced two weeks ago that they were working together to bring Best Buy's Geek Squad service to Europe.
The US market differs from the UK, in that consumers tend to buy their mobile phones from network providers rather than independent mobile phone retailers.
The fascia name for the new venture has yet to be finalised.