An empirical intermolecular potential surface is proposed for the He-I 2 ͑B 3 ⌸ u ͒ complex, modeled as a sum of pairwise He-I Morse interactions plus a three-body interaction term. The potential reproduces with very good agreement the spectral blueshifts and vibrational predissociation lifetimes measured for He-I 2 ͑B , Ј͒ in the range Ј= 10-67 of I 2 vibrational excitations. In particular, the accuracy achieved in the description of the experimental data for high Ј levels is attributed to the three-body interaction term included in the potential. The behavior of the potential surface with the I-I separation is analyzed and correlated with the experimental findings.