There has also been no significant release of detainees, another point of Annan's plan, Ban said.
Ban said that a U.N. special envoy would be appointed to support the deal's implementation.
"It would represent an almost fatal blow to remaining chances of securing a two-state solution, " Mr Ban said.
Mr. Ban said a cease-fire should be quickly followed by inclusive political talks to resolve the yearlong conflict.
Mr Ban said she was an "inspiration", but he regretted that she had been excluded from the elections.
"In discharging its mandate of an investigation mission, full cooperation from all parties will be essential, " Ban said Thursday.
CNN: Ban to Syria: You get chemical weapons probe, we get access
"They expect this parliament to not only advance reform but to accelerate the pace of change, " Mr Ban said.
BBC: UN's Ban Ki-moon urges Burma to unite on path to change
"Hundreds of millions of the world's people expect no less, " Ban said.
There also has been no substantive progress on providing humanitarian assistance, Ban said.
"This marks an important event, these being the first polls to affect the day-to-day lives of Iraqi voters, " Ban said.
Ban said his teams are consulting with the Organization for the Prohibition of Chemical Weapons and the World Health Organization.
Ban said the new pope shares common goals with the United Nations, from the promotion of peace to social justice.
Ban said countries must also expand microcredit to small farmers, minimize trade barriers and tariffs, and boost investment in agriculture.
Ban said he was discussing how to provide assurances to both rebels and the government in talks with the U.N.
"It may be prudent to focus instead on mobilizing all available resources and capacity for the emergency response efforts, " Ban said.
Asked how Assad reacted to calls for a ceasefire, Ban said he had conveyed a "strong message" for a unilateral truce.
Speaking in The Hague, Mr Ban said "all serious claims" of chemical weapons use "should be examined without delay, without conditions and without exceptions".
BBC: Syria rejects 'broadening' of UN chemical weapons probe
But Ban said he couldn't estimate how long it will take to get the aid already collected for Haiti flowing freely into the country.
Mr Ban said he had been "urging the Syrian government to show flexibility", and the team would be deployed as soon as consent was given.
BBC: Syria crisis: Bashar al-Assad says West will 'pay price'
With the world's population expected to grow to 7.2 billion by 2016, Ban said, the food problem will only grow if the world doesn't act now.
"Even tonight, after the attack, more than 40 peacekeepers remain with the villagers in this remote region to protect them from this armed group, " Ban said.
"The United Nations stands ready to provide assistance as may be required, in cooperation with the international community, " Ban said in a statement issued by his office.
The renewed fighting showed the need to speed up the deployment of the intervention brigade so that it would be "fully responsible as soon as possible", Mr Ban said.
"The onus is on the government of Syria to prove that their words will be matched by their deeds this time, " Ban said at a news conference in Geneva.
"The perpetrators of these crimes will not escape the strongest possible condemnation -- and ultimate punishment -- by Algerian authorities and the international community, " Ban said in the written statement.
"The people of Zimbabwe cannot afford another failure by their political leadership to reach a fair and workable agreement that would allow Zimbabwe to tackle the formidable challenges ahead, " Ban said.
Countries must reach a consensus on the production of biofuels -- one of the many causes of rising food prices -- and reduce subsidies to those that produce it, Ban said.
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