"The United States remains determined to close the detention facility at Guantanamo Bay," the White House said in a statement yesterday.
"In support of those efforts, today the Department of Defence certified to Congress its intent to repatriate an additional two detainees to Algeria.
"We are taking this step in consultation with the Congress, and in a responsible manner that protects our national security," it said.
It did not identify the two inmates. At least 12 Algerians held at Guantanamo, a US naval base in Cuba, have been repatriated.
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President Barrack Obama vowed to close the facility when he first took office in 2009, but four years on the military prison set up in the wake of the September 11, 2001 attacks still holds 166 men.
The vast majority of those held at Guantanamo, detained on Afghan battlefields or handed over by other countries, have never been charged or tried, and dozens have been taking part in a hunger strike in recent months.
Seventy detainees were taking part in the hunger strike as of July 23, with 46 of them listed as being fed through nasal tubes, according to the military.
Most of those cleared are Yemenis, whose release is blocked by a special moratorium imposed in the wake of the failed December 2009 plot to blow up a US passenger plane.
The plot was later traced back to Al-Qaeda's Yemeni franchise, whose members include former Guantanamo inmates.
As part of his renewed bid to shutter the prison, Obama has promised to lift the moratorium, and is expected to discuss Guantanamo with Yemen's president during a White House visit next week.
"We continue to call on Congress to join us in supporting these efforts by lifting the current restrictions that significantly limit our ability to transfer detainees out of Guantanamo, even those who have been approved for transfer," the White House said.