Duterte's verbal attacks on top television broadcaster ABS-CBN and the Philippine Daily Inquirer newspaper came in a pair of speeches in which he also lashed out at the European Union for criticising him over alleged human rights abuses.
"I'm not threatening them but someday their karma will catch up with them," Duterte said of the two media outlets.
"They're shameless, those sons of whore journalists."
Duterte named the Prieto and Lopez families that own the Inquirer and ABS-CBN respectively, calling them "oligarchs" who use the media to promote their chosen political candidates.
He also threatened to use the government TV station to shame those two families.
"I will give you your due also. I will go through your lives and those of your children," on government television, he said.
Duterte easily won presidential elections last year after vowing to eradicate illegal drugs in society by killing tens of thousands of people.
Since taking office in June, police have reported killing at least 2,564 people in drug raids while more than 4,200 others have been killed in unexplained circumstances, according to official figures.
Duterte frequently responds to criticism with foul-mouthed defiance. He also branded then US president Barack Obama a "son of a whore" last year.
Many Filipinos support Duterte's drug war, believing he is making society safer.
But rights groups say many people are also too afraid to speak out, citing his fiery rhetoric and various alleged intimidation tactics.
Last year, Duterte made comments widely interpreted as justifying the murders of some journalists.
"Just because you're a journalist you are not exempted from assassination, if you're a son of a bitch," he said.
Pala's murder has never been solved but in recent weeks, a former police aide of Duterte said the then-mayor ordered the killing.
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