Economist Hazem el-Biblawi has been named Egypt's new prime minister while Mohamed ElBaradei has been named vice president, the Associated Press reports citing an official.
A spokesperson for Egypt's Islamist Nour party has said it does not object to el-Biblawi's appointment but is still considering that of ElBaradei.
The Muslim Brotherhood tells ITV News they are against violence but will "pay the price of their blood" to restore their ousted president.
Egypt's army has named two further officials in the transitional government as its supporters and opponents vowed to stay on the streets.
There has been outrage in Egypt after 51 people were killed near an barracks where ousted President Mohamed Morsi is thought to be held.