An angular analysis and a measurement of the differential branching fraction of the decay B-s(0) -> phi mu(+)mu(-) are presented, using data corresponding to an integrated luminosity of 3.0 fb(-1) of pp collisions recorded by the LHCb experiment at root s = 7 and 8 TeV. Measurements are reported as a function of q(2), the square of the dimuon invariant mass and results of the angular analysis are found to be consistent with the Standard Model. In the range 1 < q(2) < 6 GeV2/c(4), where precise theoretical calculations are available, the differential branching fraction is found to be more than 3 sigma below the Standard Model predictions.