Holborn is also the name of the area 's principal east-west street . The street runs from St Giles 's High Street as High Holborn to Gray 's Inn Road to Holborn Viaduct . Holborn is also the name of the area 's principal east-west street , running as High Holborn from St Giles 's High Street to Gray 's Inn Road ( the junction being roughly where Holborn Bar â '' the entrance to the City of London â '' was ) and then on to Holborn Viaduct .