The Ds+- -> K+-K-+pi+- absolute branching fraction is measured using e+e- ->
Ds*+- Ds1-+(2536) events collected by the Belle detector at the KEKB e+e-
asymmetric energy collider. Using the ratio of yields when either the Ds1 or
Ds* is fully reconstructed, we find Br(Ds+- -> K+-K-+pi+-)=
(4.0+-0.4(stat)+-0.4(sys))%.