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A search for the KS → pi 0mu+mu- decay was performed by the NA48/1 Collaboration at the CERN SPS accelerator. Six events were found with a background expectation of 0.22+0.18-0.11 in the data collected in 2002 from the high-intensity K S run. The measured branching ratio is: BR( KS → pi0mu+mu -) = [ 2.9+1.5-1.2 (stat) +/- 0.2(syst)] x 10-9, assuming that only vector currents contribute to the matrix element, and a unit form factor.