Hungarian names invariably use the "Eastern name order", or family name followed by given name, except in foreign language text. Hungary

Hungary

Hungary , officially the Republic of Hungary , is a landlocked country in Central Europe. It is situated in the Carpathian Basin and is bordered by Slovakia to the north, Ukraine and Romania to the east, Serbia and Croatia to the south, Slovenia to the southwest and Austria to the west. The...

 is the only European and Western country to do so.

This way of writing names is not used for people who are not Hungarian (or not from another country where Eastern name order is used). For example, "Tony Blair

Tony Blair

Anthony Charles Lynton Blair is a former British Labour Party politician who served as the Prime Minister of the United Kingdom from 2 May 1997 to 27 June 2007. He was the Member of Parliament for Sedgefield from 1983 to 2007 and Leader of the Labour Party from 1994 to 2007...

" will stay as "Tony Blair" in Hungarian texts.