Fr Alessandro Palermo, a 30-year-old parish priest for Marsala in the west of the island, also said that images viewed on phones could lead people into sin, according to The Times.
He said blessing the phones could help to ensure that they were used in ways that were instead beneficial for the spirit.
He told members of his church: "Society is drugged by the cell phone but at the same time it is not interested in understanding how it should be used.
"That's why a blessing can do good, not to the phone but to those who use it."
Tuesday (13th December) is the feast day of Santa Lucia (St Lucy) which is marked by Catholics and Orthodox Christians, and also celebrated by members of the Lutheran Church.
Lucy, whose name means 'light', was born in 283 AD in Syracuse, Sicily, and was martyred in about 304 AD after having her eyes gauged out, according to some accounts.
Other versions of the story say that she took out her own eyes to discourage a suitor who admired them.
Fr Palermo told his congregation the patron saint of the blind could help them.
He added: "We need an educated vision that enables us to make a correct and positive use of our smartphones and tablets.
"That's why I want to bless them."
