Brainy children often don't feel they make the most of their talents at their own schools.
So the academy will give them the chance to do subjects they wouldn't get to do, like archaeology and biotechnology.
Although parents will have to pay for some of the services at the academy, the government says this shouldn't prevent children from poorer families going there.
Most of the cash needed to run it will come from tax money, businesses and the university.
Those who want to go to the school will be tested and they'll have to do well in SATs and world-class tests too.