The transfer of the five men leaves 122 inmates at the remote prison, which is located at a U.S. naval base in southeastern Cuba.
It is the first prisoner transfer of the year, after a total 28 inmates were moved in 2014.
The prison was set up to hold alleged terror suspects after the September 11, 2001 attacks, but human rights groups have condemned the jail as a "legal black hole," where inmates languish for years without being tried in court.
The pace of transfers from the U.S.-run detention center has picked up in recent months as President Barack Obama attempts to fulfill his vow to shut the prison, despite opposition from some lawmakers, AFP said. The U.S. has been trying to find other countries to accept the Yemeni prisoners amid an effort to close the detention center.
The Estonian government wishes to ensure smooth adaptation for the person who arrived here so that he was able to manage on his own in the future. As applicant for international protection, he is entitled to social support services provided by the government.
To persons to whom international protection is granted a fixed-term residence permit will be issued for up to three years and they also get a residence permit card that serves as domestic ID proving the person's right to stay in the country. Also, in accordance with law, the person's subsistence will be supported, and after the issuance of a residence permit the person becomes eligible for the support services offered by the government and local governments. To ease adaptation, the person will be offered the possibility to learn Estonian and the possibility to be provided translation service in interaction with the authorities and providers of health care service.
Since 2009, 64 individuals have been released and transfered on various grounds from Guantanamo. For instance, three of the released inmates were transfered to Albania, one to Belgium, four to Bermuda, one to Bulgaria, one to Cape Verde, two to El Salvador, two to France, six to Georgia, two to Germany, one to Hungary, two to Ireland, five to Kazakhstan, one to Latvia, six to Palau, two to Portugal, five to Qater, eight to Slovakia, three to Spain, three to Switzerland and six to Uruguay.
In addition 44 people have been transfered to their native country, including to Italy and Britain.