The seven prisoners arrived in Moscow on February 28.
These Russian residents were captured in Afghanistan during the US-led anti-terrorist campaign in 2002.
A relevant service of the Russian justice ministry met the men and sent them to a pre-trial detention center for investigation, said Mr Yakovenko.
According to the American embassy to Russia, one more Russian resident is still held in the Guantanamo prison. It is not clear whether the two countries are negotiating his transfer to Russia or not, an embassy official told RIA Novosti.
The USA handed the seven prisoners over to Russia on condition the latter should investigate into their case and bring in a punishment, said the embassy.