The sandwiches come in four flavours each priced at $4.99 and will be available in 4,000 US stores this week and throughout the entire chain by September 22.
The launch puts Domino's in direct competition with the sandwich chains Quiznos, which offers home and office delivery, and Subway. It comes after the company reported a 5.4% drop in like-for-like sales in its US stores for the second quarter of the year.
Domino's is pushing the quality of the sandwiches and has said it will be promoting the new range heavily, including prime-time television ads, a nationwide sampling campaign and web activity.
Patrick Doyle, president of Domino's USA, said: "Some of our sandwich competitors use units that look like microwaves or toaster ovens to try and warm a few of their subs. We have high-end ovens in our stores that cost $30,000 and bake our sandwiches at 450 degrees. It gives us a huge quality advantage they can't match.
"People fed up with brown-bagging or driving to pick up something cold, can save some time and gas by ordering a hot Domino's sandwich for delivery to their home or office."
Domino's has said that it is unlikely to stop at sandwiches and that it has other new products currently in development.
Separately, McDonald's is trialling a new range of coffees that are a clear bid to lure fans of Starbucks into its restaurants. The McCafe Coffees come in flavours more usually associated with Starbucks -- including options such as hazelnut, caramel and vanilla. It is also including the choice of skimmed milk.
At the moment, the coffees are on sale in some Ohio stores, promoted with the strapline "There's a new barista in town".
McDonald's has been expanding away from its traditional burgers and fries menu for several years, and now offers salads, deli sandwiches and chicken.
Its move into Starbucks territory comes after the coffee chain decided to close 600 stores in the US.