Mr Ramos Horta hoped the rest of the campaigning would be free of violence, after his supporters were attacked last week.
"Unfortunately there are many Fretilin extremist elements who have been behind most of the incidents of violence," he said.
However he said the Fretilin leadership did not condone the violence.
He said the violence was "a show of exasperation" by Fretilin supporters.
"By they do the most damage to themselves by threatening people and inciting violence," Mr Ramos Horta said. "The people of this country, they are traumatised by violence. "They will reject any individual or organisation that is seen to instigate violence," he said.