Stenbock House The Governments building in Tallinn Tallinn, the largest city and capital of Estonia (population 440 000). . is the Governments building in Rahukohtu street 3, Toompea, Tallinn Tallinn, the largest city and capital of Estonia (population 440 000). . The Government sessions have been held in the building since the 8th of August, 2000. The Prime Minister and the State Chancellery work in the house daily.