A flight to Rome takes roughly 2.5 hours from London/England and 8 hours from New York/USA.
The city of Rome has two airports, Leonardo da Vinci also known as Fiumicino (FCO) and Ciampino (CIA). Fiumicino is the primary arrival point for most international and domestic flights. You will land here if you fly to Rome with any of the large international carriers coming from overseas or other parts of Europe. It is located somewhat 26 km south-west of Rome.
On the other hand Ciampino airport is handling domestic and low cost flights as well as charter and executive flights.
There is also Rome Urbe, a small civilian airport in Rome, situated in the northern part of the city. Apart from private flights it is now mainly used for helicopter traffic.