  We construct integrability preserving boundary conditions for Green-Schwarz
sigma-models on semi-symmetric spaces. The boundary conditions are expressed as
gluing conditions of the flat-connection, using an involutive metric preserving
automorphism. We show that the boundary conditions preserve half of the
space-time supersymmetry and an infinite set of conserved charges. We find
integrable D-brane configurations for AdS_5 x S^5 and AdS_4 x CP^3 backgrounds.
