The polarisation of prompt \u3c8(2S) mesons is measured by performing an angular analysis of \u3c8(2S) \u2192 \u3bc+ \u3bc 12 decays using proton-proton collision data, corresponding to an integrated luminosity of 1.0 fb^ 121, collected by the LHCb detector at a centre-of-mass energy of 7 TeV. The polarisation is measured in bins of transverse momentum p_T and rapidity y in the kinematic region 3.5 < p_T < 15 GeV/c and 2.0 < y < 4.5, and is compared to theoretical models. No significant polarisation is observed