We consider intrinsic Baire classes of a separable Banach space X. Those are defined recursively as iterated weak* sequntial closures of the canonical image of X in X**. We say that X is of Baire order alpha if alpha is the smallest ordinal in which this iteration stabilizes. As all the known examples of Baire orders of separable Banach spaces were 0, 1, or omega_1, this inspired Argyros, Godefroy and Rosenthal to ask whether there exists a separable Banach space of order 2. In the talk we show how to construct such space, solving this question positively. This is a joint work with Anna Pelczar-Barwacz and Tomasz Wawrzycki.