Syrian refugees are pouring into neighboring countries at an alarming and increasing rate, outpacing the international community's ability to assist them, according to State Department and USAID officials.

"The violence is increasing ... and this increase in violence is, of course, leading to more people, and a larger number of people, that are inside Syria and that are along Syria's borders needing more humanitarian assistance," said Maria Otero, the under secretary of State for civilian security, democracy, and human rights.

Otero just returned from Turkey and Jordan, where she met with government officials, nongovernmental organizations, international organizations, human rights activists, and youth groups. She traveled there with Kelly Clements, the deputy assistant secretary of State for the bureau of population, refugees, and migration;

Clements said that as of Thursday, between 117,000 and 125,000 refugees had fled Syria to seek refuge in neighboring countries and thousands more were pouring over the borders each day. 8,500 Syrians crossed the border into Lebanon in the last 24 hours, she said.

As of Thursday, there were about 42,600 refugees in the camps along the Turkish border, she said. In Jordan, there are 37,000 refugees, of which about 35,000 have been registered with UNHCR. In Lebanon, there are 32,500; in Iraq about 8,000.

"There are obviously many more Syrians that have crossed that border but have not availed themselves of the need for international assistance," said Clements, adding that in Lebanon, "those numbers are rising very, very rapidly."

There are also 1.5 million Syrians inside Syria need of urgent assistance, including 300,000 to 500,000 internally displaced persons, but aid workers are struggling to reach them.

"Inside Syria, lack of access due to violence by all parties remains the number one limiting factor for humanitarian assistance. International humanitarian agencies simply are unable to reach those most in need," Clements said.

Aid workers are also being harassed and captured, even killed.

"We know it's been widespread, and we know from organizations that we're working with that medical clinics, health professionals have been targeted. We also know people simply trying to get aid in to help people have been targeted, said Mark Bartolini, director of the office of U.S. foreign disaster assistance. 

At the Syria Humanitarian Forum last week in Geneva, the U.S. announced another $6 million in assistance to international organizations dealing with the Syrian refugee crisis, bringing the total U.S. commitment in 2012 to $64 million, Clements said.