Panayiotis Pikrammenos, the former president of the Council of State, was named Wednesday to lead the group as prime minister.
The May 6 elections left the country deeply divided and President Karolos Papoulias announced plans to create a caretaker government after talks on forming a coalition government failed.
Parliament will likely be dissolved next week with new elections expected June 17, ekathimerini.com said.
Economist Giorgos Zannias, a former government adviser, was appointed finance minister while Peter Molyviatis returned to the foreign minister post he held with the New Democracy government.
Think-tank chief Yiannis Stournaras was named development minister and economist Napoleon Maraveyias is the agricultural development minister.