  We measure the branching fraction for the flavor-changing neutral-current
process B -> Xs l+ l- with a sample of 89 x 10^6 Upsilon(4S) -> BBbar events
recorded with the BaBar detector at the PEP-II e+e- storage ring. The final
state is reconstructed from e+e- or mu+mu- pairs and a hadronic system
consisting of one K or K0s and up to two pions, with at most one pi0. We
observe a signal of 40 +/- 10(stat) +/- 2(syst) events and extract the
inclusive branching fraction B(B -> Xs l+ l-) =
  (5.6 +/- 1.5(stat) +/- 0.6(exp syst) +/- 1.1(model syst)) x 10^-6 for mll >
0.2 GeV/c^2.
