We find the superisometry of the near-horizon superspace, forming the super
conformal algebra. We present here the explicit form of the transformation
of the bosonic and fermionic coordinates (as well as the compensating Loren
tz-type transformation) which keeps the geometry invariant. We comment on i
) the BPS condition of the branes in AdS background and ii) significant sim
plification of superisometries of the gauge-fixed Green-Schwarz action in A
dS(5) x S-5 background.