  We reduce two-body problem to the one-body problem in general case of
deformed Heisenberg algebra leading to minimal length.Two-body problems with
delta and Coulomb-like interactions are solved exactly. We obtain analytical
expression for the energy spectrum for partial cases of deformation function.
The dependence of the energy spectrum on the center-of-mass momentum is found.
For special case of deformation function, which correspondes to cutoff
procedure in momentum space it is shown that this dependence is more likely to
observe for identical particles.
