It is the current local time right now in Flying Fish Cove and in all Christmas Island’s cities. 
Christmas Island’s time zone: +07 or UTC+07:00

No daylight saving time (DST) in Christmas Island.

Full name: Christmas Island
Continent: Asia
Region: Australia and New Zealand
Population: 1,500
Area: 135 km²
Capital: Flying Fish Cove
Currency: Dollar (AUD)
Phone code: 61
Domain: .cx
Wikipedia article: Christmas Island