"I didn't know any of these people were despicable sex offenders when these pix were taken.
"That's why I'm now blocking everyone who sends it to me – including this berk."
This is not the first time Morgan has spoken about the infamous pictures.
In January, the journalist was bombarded with pictures of him and Maxwell.
The former Good Morning Britain presenter explained: "To everyone gleefully sending me this photo: I met Ghislaine Maxwell at a book launch in New York in 2013. We spoke for 5 minutes about her father Bob who once owned the Daily Mirror.
"She seemed nice. Obviously, she's a monster. Sadly, I'm not a psychic. Hope this helps."
According to the Daily Star, Morgan responded to a Twitter user who questioned him in a since-deleted tweet.
"I've interviewed 1000s of people over the years, a tiny number of whom later turned out to be sex offenders," he replied.
"If you could tell me which of today's public figures are likely to be exposed for sex crimes in the future, it would help me work out who to pose with – thanks!"
In another tweet, the anchorman said he will block anyone who sends him an old picture of him with convicted felons.
"Now I've (again …) explained these pix, anyone who sends me them going forward to make some fatuous nonsensical 'GOTCHA!' point is getting blocked," he tweeted.
"You've been warned, so no tearful 'I was drunk, Piers, please forgive me!' pleas for mercy if you ignore this directive."