The production of the hypertriton nuclei and has been measured for the first time in Pb–Pb collisions at with the ALICE experiment at LHC. The lick to view the MathML source">pT-integrated 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 lick to view the MathML source">B3 shows a dependence on the transverse momentum, similar to the lick to view the MathML source">B2 of deuterons and the lick to view the MathML source">B3 of 3He nuclei. The ratio of yields was measured to be lick to view the MathML source">S3=0.60±0.13(stat.)±0.21(syst.) in 0–10% centrality events; this value is compared to different theoretical models. The measured lick to view the MathML source">S3 is compatible with thermal model predictions. The measured lifetime, is in agreement within 1σ with the world average value.