  We consider N =1 supersymmetric QCD with the gauge group U(N) and N_f=N quark
flavors. To get rid of flat directions we add a meson superfield. The theory
has no adjoint fields and, therefore, no 't Hooft-Polyakov monopoles in the
quasiclassical limit. We observe a non-Abelian Meissner effect: condensation of
color charges (squarks) gives rise to confined monopoles. The very fact of
their existence in N =1 supersymmetric QCD without adjoint scalars was not
known previously. Our analysis is analytic and is based on the fact that the N
=1 theory under consideration can be obtained starting from N =2 SQCD in which
the 't Hooft-Polyakov monopoles do exist, through a certain limiting procedure
allowing us to track the status of these monopoles at various stages. Monopoles
are confined by BPS non-Abelian strings (flux tubes). Dynamics of string
orientational zero modes are described by supersymmetric CP(N-1) sigma model on
the string world sheet. If a dual of N =1 SQCD with the gauge group U(N) and
N_f=N quark flavors could be identified, in this dual theory our demonstration
would be equivalent to the proof of the non-Abelian dual Meissner effect.
