The 58-year-old, his wife Maurizia Castiglioni and two crew members are among those missing, according to Reuters.
Vittorio is the son of Missoni's founder and runs the fashion house. The plane went missing yesterday.
“It disappeared yesterday. They have been looking for it with helicopters and ships, but have not found anything yet. They are still searching for it this morning,” the Italian consul in Venezuela, Giovanni Davoli, said.