  A exact de Sitter-like cosmological solution of quadratic gravitation with
torsion has been found. In the limit of constant energy and pressure, it
becomes a exact de Sitter spacetime. It exists in a wide class of quadratic
gravity theories and is the same in vacuum for all the models in this class, no
matter how the coefficients of the quadratic terms in the Lagrangian are. It
describes an accelerating universe and gives a cosmological constant which is
of the order of magnitude of the observed value. In vacuum the universe is a de
Sitter spacetime without torsion. When matter presents, however, the spacetime
is equipped with curvature as well as torsion. In other wards torsion can be
generated by the energy-momentum of matter (energy and pressure).
