The Good Morning Britain presenter and former News of the World editor shared a screenshot of his notifications on Instagram, which included threats and abuse from members of the public.
One social media user had described Morgan as a “marked man” and said he would be “killed”.
Writing on Twitter on Wednesday (17 February), Morgan said that he had reported the threats to the metropolitan police.
“I’ve reported these death threats to @metpoliceuk and look forward to hearing back from them,” revealed Morgan.
“I’m also keen to hear what steps @instagram @Facebook are taking to identify the person who made the death threats on their platform & has now deleted their account.”
The presenter also said that police were “definitely taking this seriously” and updated followers as officers were “round my house now taking a statement”.
Morgan has decried abusive social media activity in the past.
On the anniversary of Caroline Flack’s death on Monday (15 February), he wrote: “One thing I’ve learned in the past year: many of those who use the hashtag #BeKind on social media are staggeringly unkind & abusive people.”