"Yesterday, I received between 50 to 70 to 80 telephone calls from pseudo-fans, in which they asked me to leave Lazio and made death threats against me," he told reporters.
"I live under escort," he added. "The supporters are part of the club but now they have overstepped the mark."
During the news conference, Lotito took a phone call which he said was from another angry Lazio supporter.
"Who's there?" he said as he answered the call. "It's a Lazio supporter," he said, turning to the audience and holding up the phone. "He says I should leave Lazio, as soon as possible."
"Why don't you say who is calling?" he said to the caller who then hung up.
Lotito was also reported to have received death threats in September after the club failed to sign Turkish forward Burak Yilmaz from Galatasaray.
Lotito said there was nothing Lazio could have done to hold on to Brazil's Hernanes, a gifted but inconsistent midfielder.
"It was Hernanes' decision to leave, so what could I do? He had an agreement with Inter. If he had stayed, he would have been unhappy.
"He would have stayed here unhappy until June, then gone off to the World Cup, then come back for a few months and left on a free transfer.
"If you want to leave, you've got to say so.")