S-duality symmetry of type IIB string theory predicts the existence of
a stable non-BPS state on an orbifold five plane of the type IIB theo
ry if the orbifold group is generated by the simultaneous action of (-
1)(FL) and the reversal of sign of the four coordinates transverse to
the orbifold plane. We calculate the mass of this state by starting fr
om a pair of D-strings carrying the same charge as this state, and the
n identifying the point in the moduli space where this pair develops a
tachyonic mode, signalling the appearance of a bound state of this co
nfiguration into the non-BPS state.