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 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 B3 shows a dependence on the transverse momentum, similar to the B2 of deuterons and the B3 of 3He nuclei. The ratio of yields 113" class="mathmlsrc">113.gif&_user=111111111&_pii=S0370269316000575&_rdoc=1&_issn=03702693&md5=7399ffecdfb0d9f9b29b3e0e8f37f63d">113.gif"> 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 lifetime, is in agreement within 1σ with the world average value.