East Timor voted in a 1999 referendum for independence from Indonesia, which annexed its neighbour after Portugal ended colonial rule in 1975.
The territory became fully independent in 2002 after a period of UN administration.
An east-west divide in the natin of one million people erupted into chaos and gang-related violence in May 2006.
Poverty and high youth unemployment plague the country, where more than 100,000 people are displaced.
Australia led a 3,200-strong peacekeeping force to Dili to intervene in last year's violence. Canberra still has 800 troops in East Timor, along with 120 New Zealand troops.
"The international community has again come to the assistance of the Timor-Leste," Robert Hill, Australia's UN ambassador, told the council.
Rezlan Jenie, Indonesia's UN ambassador, told the security council that the United Nations and international community should continue to play a "constructive and nurturing role" in assisting East Timor.