The production of the ρ(770) 0 meson has been measured at midrapidity (|y| < 0.5) in pp and centrality differential Pb-Pb collisions at √ s NN = 2.76 TeV with the ALICE detector at the Large Hadron Collider. The particles have been reconstructed in the ρ(770) 0 → π + π − decay channel in the transverse-momentum (p T ) range 0.5-11 GeV/c. A centrality-dependent suppression of the ratio of the integrated yields 2ρ(770) 0 /(π + + π − ) is observed. The ratio decreases by ∼40% from pp to central Pb-Pb collisions. A study of the p T -differential 2ρ(770) 0 /(π + + π − ) ratio reveals that the suppression occurs at low transverse momenta, p T < 2 GeV/c. At higher momentum, particle ratios measured in heavy-ion and pp collisions are consistent. The observed suppression is very similar to that previously measured for the K * (892) 0 /K ratio and is consistent with EPOS3 predictions that may imply that rescattering in the hadronic phase is a dominant mechanism for the observed suppression.