Mr Morgan, who was once friends with Meghan, has heavily criticised the Duchess after she claimed she was the most trolled person of 2019.
The former Suits actress made the comments when speaking on a Teenage Therapy podcast on mental health awareness.
She said the impact of the trolling was “almost unsurvivable” and had a damaging impact on both her mental and emotional health.
But the journalist scoffed at the idea the Duchess was the most trolled person in the entire world, male or female, as she claimed.
Meghan Markle has been told to “get some perspective” by Piers Morgan
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He told this website: “She said she’s the most trolled person in the world which is not true, certainly Donald Trump wouldn’t agree with that.
“The online trolling has been so bad its been almost unsurvivable and then today she said she hasn’t had any social media accounts for years – well which one is it?
“How do you know what is being said online if you don’t have any social media accounts.
“It’s all designed.”
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Mr Morgan then drew comparisons to her emotional interview about her experience of pregnancy and motherhood for the ITV document titled Harry and Meghan: An African Journey.
During the episode, which was filmed while the couple were on their African tour, Meghan opened up about her struggles as a mum under constant scrutiny.
She famously said: “Not many people have asked if I’m ok.”
Commenting on this, Mr Morgan said: “Rather like when she went to Africa and said nobody has asked if I’m okay.
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“She’s literally just spent a week with some of the poorest, vulnerable and abused people in the world and yet she still managed to make that all about herself and says ‘nobody has asked if I’m okay’.
“Well you’re a privileged princess, for God’s sake get some perspective.”
Mr Morgan further criticises the Duchess of Sussex in his new book, Wake Up.
In the book, the journalist charts the key dates and events of 2020 and accused both Meghan and Harry of being “self-obsessed”.
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He said: “It’s sadly, pathetically clear that all the Sussexes care about, like so many self-obsessed privileged wokies, is themselves.
“They live in a me-me-me bubble that doesn’t allow for anything more important, like the worst-global pandemic in a century, to interfere with their self-promotion.”
Wake Up: Why the world has gone nuts by Piers Morgan (HarperCollins, £20) is out now.