We present a new form of kappa-symmetry transformations for D-branes i
n which the dependence on the Born-Infeld field strength is expressed
as a relative rotation on the left-and right-moving fields with opposi
te parameters. Then, we apply this result to investigate the supersymm
etry preserved by certain intersecting brane configurations at arbitra
ry angles and with non-vanishing constant Born-Infeld fields, We also
comment on the covariant quantization of the D-brane actions. (C) 1997
Elsevier Science B.V.