But in a sign that trapped survivors can't last much longer, one person trapped near the site of the National Cathedral apparently died while rescuers were cutting through cement and trying to reach the person.
The stench of death that is overpowering in parts of the city makes it obvious that many bodies remain in the rubble. Searchers have been reluctant to use heavy equipment to sift through the concrete for fear of injuring possible survivors trapped beneath it.
The Haitian battle of the bottleneck continues today as aid workers and the U.S. military struggle to get tons of food and water to famished Haitians before conditions turn violent.
One problem has been the U.S. military's inability to get more troops on the ground. There were supposed to be 3,500 members of the 82nd Airborne Division on the island Monday but only 1,100 of them were deployed.
Hundreds of U.S. troops from the 82nd airborne division landed on the lawn of the wrecked Presidential Palace today, as quake victims cheered and looked on the fence of the grounds.
"We are happy that they are coming, because we have so many problems," said Fede Felissaint, a hairdresser.
Just blocks away from the U.S. troops landing at the palace, looters were tearing through downtown shops.
"That is how it is," said Haitian police officer Arina Bence to the Associated Press. "There is nothing we can do."
The troops are needed for security when helicopters land to distribute aid to prevent the Haitians from rushing the choppers. Although some looting has broken out in Port-au-Prince, the distribution of food and water has been fairly smooth, witnesses have reported.
A fleet of helicopters is now ferrying aid to points around Haiti, but the relief supplies are still reaching only a portion of the estimated 1.5 million people who have been affected by the quake.
ABC News took a helicopter flight outside of Port-au-Prince to the area that was at the epicenter of the quake. Houses there were shaken until they collapsed. People on the ground waved eagerly, hoping for the first sign of help, but no relief aid had arrived.
U.S. officials are now saying they expect to have 5,000 U.S. troops on the ground by the end of the week, as well as 50 helicopters. The target will be complicated, however, by a decision to give flights with food and water priority over military flights landing at the only landing strip in the country that can accommodate large planes.
Aid flights are still struggling to land their planes in Haiti. The aid group Doctors without Borders (MSF) said one of their cargo planes carrying 12 tons of medical equipment was turned away from the Port-au-Prince airport 3 times since Sunday night.
"We have had five patients in Martissant health center die for lack of the medical supplies that this plane was carrying," said Loris de Filippi, emergency coordinator for a Haitian MSF center in Cite Soleil. "I have never seen anything like this."
There is still an outpouring of donations for Haiti relief. The Red Cross said today that donations have surpassed $100 million.