The remarks may show increasing U.S. willingness to help cope with the mass migration of Syrians although the offer is modest when compared with the hundreds of thousands that are moving to Europe and in particular, Germany.
Kerry did not say how many of the additional refugees would be from Syria but pledged that the United States was ready to help.
"In consultation with Congress, we will continue to explore ways to increase those figures while maintaining robust security," Kerry told a news conference after meeting German foreign minister Frank-Walter Steinmeier.
"The need is enormous, but we are determined to answer the call."
Kerry also announced he will hold talks on the sidelines of the U.N. General Assembly in New York this week on ways to restart negotiations on a political solution to end Syria's war.
"We have agreed on certain formats and processes by which we should try and proceed," he said, adding that he would meet with Russian Foreign Minister Sergei Lavrov and Iranian Foreign Minister Mohammad Javad Zarif to discuss the situation in Syria.
"This will be a very timely meeting in New York and will give us tremendous opportunity to be able to work together and find some ways forward."
Kerry's comments on refugees address calls on U.S. President Barack Obama to help more in the crisis. Obama has said the U.S. will accept at least 10,000 Syrians over the coming year displaced by the four-year-old civil war.
His announcement comes ahead of a Sept. 23 emergency summit meeting of European Union leaders to address the stream of refugees that has overwhelmed the region.
He said the United States would like to take in more refugees in the coming year but needed additional funding from Congress to hire more people to process the refugees.
"We are doing what we know we can manage immediately," he told a news conference. "As soon as we have the opportunity to try to up that we will ... welcome more people in these kinds of circumstances."
Countries disagree as to who should take responsibility for the nearly 500,000 people who have crossed the Mediterranean into Europe this year alone, prompting Hungary's use of water cannon and razor wire on its border with Serbia.
Many of the same fears shape the debate in Europe as in the United States, where the number of refugees allowed in slowed sharply after the attacks on Sept. 11, 2001.
Some Republicans have warned that the administration could open the door to potential militants.
Congressman Bob Goodlatte and Senator Chuck Grassley, Republicans who head the judiciary committees in the U.S. Senate and House of Representatives, said in a statement the proposal lacked "a concrete and foolproof plan to ensure that terrorists won't be able to enter the country."
Aid groups, meanwhile, have been critical of plans to allow in only 10,000 Syrians, given the large size of the American economy and population. They have called for ten times as many to be admitted.
Kerry has pushed for renewed efforts to find a political solution to the crisis and urged Russia and Iran, who back Syrian President Bashar al-Assad, to convince him to negotiate an end to the war.
(Reporting By Lesley Wroughton; Additional reporting by Jason Lange in Washington; editing by John O'Donnell and Ruth Pitchford)
Reuters