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 nonzero baryon chemical potential (μ). 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, μ 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.