The production of the hypertriton nuclei 97364514b70d3ac5ff066d88862ed"> and has been measured for the first time in Pb–Pb collisions at with the ALICE experiment at LHC. The pT-integrated 97364514b70d3ac5ff066d88862ed"> yield in one unity of rapidity, in the 0–10% most central collisions, is consistent with the predictions from a statistical thermal model using the same temperature as for the light hadrons. The coalescence parameter B3 shows a dependence on the transverse momentum, similar to the B2 of deuterons and the B3 of 3He nuclei. The ratio of yields was measured to be S3=0.60±0.13(stat.)±0.21(syst.) in 0–10% centrality events; this value is compared to different theoretical models. The measured S3 is compatible with thermal model predictions. The measured 97364514b70d3ac5ff066d88862ed"> lifetime, is in agreement within 1σ with the world average value.