Based on a sample of 2.25x10^8 J/Psi events taken with the BESIII detector at the BEPCII collider, we present the results of a study of the decay J/Psi-->eta phi pi+pi-. The Y(2175) resonance is observed in the invariant mass spectrum of phi f0(980) with a statistical significance of greater than 10sigma. The corresponding mass and width are determined to be M=2200±6(stat)±5(syst) MeV/c2 and Gamma=104±15(stat)±15(syst) MeV, respectively, and the product branching fraction is measured to be B(J/Psi-->eta Y(2175),Y(2175)-->phi f0(980),f0(980)-->pi+pi-)=(1.20±0.14(stat)±0.37(cyst))x10-4. The results are consistent within errors with those of previous experiments. We also measure the branching fraction of J/Psi --> phi f1(1285) w...