But fighting around other major cities, banditry along key supply routes, the continuing impact of drought and the race against the onset of winter are still posing grave challenges.
"Overall, we're very cautiously optimistic that we'll be able to deliver," senior UN aid official Kevin Kennedy was quoted as saying by the AP news agency.
"But I would not want to leave the impression that the humanitarian crisis in Afghanistan is resolved," he added.
Winter looming
The UN World Food Programme (WFP) said on Friday it had met its target for delivering aid to Afghanistan during November.
But with winter looming, those six million people will still need feeding - and some are dramatically more at risk than others.
"The picture is somewhat mixed. In some areas our ability to deliver assistance has improved, in other areas it has deteriorated," Mr Kennedy said.
Click here for a map of aid supply routes into Afghanistan
Some 500,000 people in the central highland areas of Bamiyan province stand to be cut off without supplies of any kind if aid does not reach them before the first snows of winter, due in a matter of weeks.
The International Committee of the Red Cross (ICRC) is also keeping a close eye on Ghor province, east of the western city of Herat, where 300,000 need assistance.
Spokeswoman Macarena Aguilar told BBC News Online that the ICRC had put 2,000 metric tonnes of food stocks on standby in Herat to be moved in when the situation allowed.
Obstacles and breakthroughs
Further food stocks were already in place, she said, but distribution was complicated by the shifting power struggles between local commanders, all of whom have now changed since the overthrow of the Taleban.
Increasing banditry along supply routes was also hampering operations.
"The security situation on access roads still very critical," she said.
Aside from the impact of lawlessness, continuing fighting in the south is becoming of major concern.
The UN believes that some 230,000 people are facing possible starvation around the southern Taleban stronghold of Kandahar, which has become a no-go zone for aid supplies.
But back in the north, there has been breakthrough in UN access to vulnerable drought-stricken areas.
Correspondents say the government of Tajikistan has decided to let foreign aid workers pass freely between Tajik and Afghan territory.
The government's decision means the process of ferrying aid across the border should now be much faster and easier.
But he still described the humanitarian situation in northern Afghanistan as a crisis of stunning proportions, with some refugee camps yet to receive any humanitarian aid whatsoever.
Meanwhile, the executive director of the United Nation's children's agency Unicef said support for women and children was an immediate priority in the country's recovery.
Speaking at the start of a five-day tour of Pakistan and Afghanistan, she told the BBC that education was a key challenge now, for both Afghan girls and boys.
"Education, education, education, that's our view in Unicef," she said.
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Spokeswoman Christiane Berthiaume said the agency had aimed to get 52,000 tonnes of food into the country in November - enough to feed six million people for a month - and with one day to go it had already delivered 53,000 tonnes.
UN aid convoys have been ambushed and robbed, agency offices have been looted, and several journalists have been killed in apparent robberies.
The security situation on access roads is still very critical
ICRC spokeswoman Macarena Aguilar
The deputy UN coordinator for Afghanistan, Antonio Donini, said last week the overall situation around the northern city in Mazar-e-Sharif was still fragile, but there was a sense that it was improving.
Related to this story:
Herat leader warns of relief crisis
(27 Nov 01 | South Asia)
Thousands face hunger in Kandahar
(26 Nov 01 | South Asia)
Dangers hamper Afghan aid effort
(25 Nov 01 | South Asia)
Aid reaches Kabul despite ambush
(24 Nov 01 | South Asia)
Afghan renewal 'will come from within'
(22 Nov 01 | South Asia)
Agencies call for Afghan peace force
(21 Nov 01 | South Asia)
Afghanistan's huge rebuilding task
(20 Nov 01 | South Asia)
Internet links:
Unicef |
World Food Programme |
International Committee for the Red Cross |
Afghanistan Online |
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