Gilmour will play on July 2nd and 3rd, with tickets going on sale from 10am on April 7th.
Priced between €60 and €120, tickets will be available from rockinroma.com, postepaysound.it, ticketone.it and davidgilmour.com.
Each person will only be allowed to purchase a maximum of four tickets.
Aside from the two days in Rome, 70-year-old Gilmour has already confirmed two dates at the Roman Amphitheatre of Pompeii (July 7th-8th ) and a further two at the Roman Amphitheatre of Verona (July 10th-11th) .
Gilmour's Italy dates come as part of a worldwide tour following the launch of his fifth solo album, "Rattle That Lock", released in September 2015.
American rocker Bruce Springsteen will also have the privilege of performing at Circus Maximus on July 16th.
The last band to be granted permission to perform among the ancient ruins was The Rolling Stones, who attracted more than 60,000 fans to their gig in June 2014.
But the concert sparked controversy after it was revealed that the rockers paid just €8,000 to use the venue.
The decision to charge such a low price was defended by ex-Mayor Ignazio Marino, who argued that the event brought €25 million to the city's coffers in just one day.
Still, as a result the city's authorities upped fees for “occupying public land”, bringing the cost of hiring Circus Maximus to up to €200,000.