  We study vacuum structure of N=2 supersymmetric (SUSY) QCD, based on the
gauge group SU(2) with N_f=2 flavors of massive hypermultiplet quarks, in the
presence of non-zero baryon chemical potential (\mu). The theory has a
classical vacuum preserving baryon number symmetry, when a mass term, which
breaks N=2 SUSY but preserves N=1 SUSY, for the adjoint gauge chiral multiplet
(m_{ad}) is introduced. By using the exact result of N=2 SUSY QCD, we analyze
low energy effective potential at the leading order of perturbation with
respect to small SUSY breaking parameters, \mu and m_{ad}. We find that the
baryon number is broken as a consequence of the SU(2) strong gauge dynamics, so
that color superconductivity dynamically takes place at the non-SUSY vacuum.
