We study intersecting D-branes in type-0 string theories and show that the
Dp(+/-)-brane bound states obey similar intersecting rules as the Dp-branes
of the type-II theories. The D5(+/-)-D1(+/-) brane system is studied in de
tail. We show that the corresponding near-horizon geometry is the AdS(3) x
S-3 x T-4 space and that there is no tachyon instability in this background
. The Bekenstein-Hawking entropy is calculated. The worldvolume theory on t
he D5(+/-)-D1(+/-) system is also studied. This theory contains both bosons
and fermions and it is seen to arise as a projection of the supersymmetric
gauge theory related to the D5-D1 system of the type-IIB theory. The Beken
stein-Hawking entropy formula is reproduced exactly using the dual conforma
l field theory.