RTFA: http://en.wikipedia.org/wiki/Holy_See
The Pope governs the Catholic Church through the Roman Curia. The Roman Curia consists of the Secretariat of State, nine Congregations, three Tribunals, 11 Pontifical Councils, a complex of offices that administer church affairs at the highest level. The Secretariat of State, under the Cardinal Secretary of State, directs and coordinates the Curia. The current incumbent, Tarcisio Cardinal Bertone, is the See’s equivalent of a prime minister. Archbishop Dominique Mamberti, Secretary of the Section for Relations With States of the Secretariat of State acts as the Holy See’s foreign minister. Bertone and Mamberti have been named in their respective roles under by Pope Benedict XVI in September 2006.
Among the most active of the major Curial institutions are the Congregation for the Doctrine of the Faith, which oversees the Catholic Church’s doctrine; the Congregation for Bishops, which coordinates the appointment of bishops worldwide; the Congregation for the Evangelization of Peoples, which oversees all missionary activities; and the Pontifical Council for Justice and Peace, which deals with international peace and social issues.
Three tribunals are responsible for judicial power. The Sacra Rota is responsible for normal appeals, including decrees of nullity for marriages, with the Apostolic Signatura being the administrative court of appeal and highest ecclesiastical court. The Apostolic Penitentiary is different from those two and, instead of dealing with contentious cases, issues absolutions, dispensations, and indulgences.
The Prefecture for Economic Affairs coordinates the finances of the Holy See departments and supervises the administration of the Patrimony of the Holy See, an investment fund dating back to the Lateran Pacts. A committee of 15 cardinals, chaired by the Secretary of State, has final oversight authority over all financial matters of the Holy See, including those of the Institute for Works of Religion, the Vatican bank.