Non-vacuum exact solutions in two-dimensional Poincare gauge gravity a
re studied. Scalar matter fields are of particular interest, since the
y effectively describe the boson string models with non-trivial (Riema
nn-Cartan) two-dimensional dynamical geometry. We explicity demonstrat
e, via an ansatz, that our recently suggested method of integration of
the vacuum 2D Poincare gravity can be extended to the case of interac
tion with the scalar matter. Exact solutions of the cosmological and b
lack-hole type are obtained.