There are no hostels in Ostia Antica, but there are other types of accommodations...

Welcome to the Bed & Breakfast 'Around The World'
Elegant, comfortable, relaxing, walking distance from one of the most superb worldwide archaeological sites, well connected with the Ostia - Rome suburban metro line, three Km from the seaside town Ostia Lido, and a few Km from Leonardo da Vinci International Airport.
From our B&B you can reach the ancient Ostia Necropolis: Ancient Romans buried their dead outside the city walls. In the second and third centuries A.D., the Romans here...