The tweet featured a black-and-white photograph of a couple holding hands with a chimp dressed in a suit alongside the caption: “Royal baby leaves hospital”.
The 61-year-old later apologised, writing: “Sorry my gag pic of the little fella in the posh outfit has whipped some up.
"Never occurred to me because, well, mind not diseased.
“Soon as those good enough to point out it’s possible connotations got in touch, down it came. And that’s it.
"Now stand by for sweary football tweets."
Baker also insisted the post was not meant to be racist, replying to one follower: “Connection never occurred to me till people were good enough to enlighten.
“Little fella in posh suit. Anyway, deleted now.”
However, people remained unimpressed with both the original tweet and Baker’s apology, and his name soon began trending on Twitter.
“Just seen why Danny Baker is trending. Not sure how you could ever explain the thought process of putting up such a crass photo,” one person wrote.
“Blimey that Danny Baker tweet is a shocker,” another added.
A third person commented: “If you're defending Danny Baker, you have a problem. It is NOT a joke or a bit of banter it's obvious how he feels and I hope he pays a heavy price. Imagine for one moment that Meghan & Harry have seen it. Now do you think it's ok??”
Others were so angry that they called for the broadcaster to be fired from his job at the BBC over the post.
“Danny Baker should be given today to resign and clear his desk. If he is still there at 16:59 @bbc MUST FIRE HIM! I’m disgusted by the hate and racism inherent in his tweet. Unforgivable,” one person tweeted.
Another agreed, adding: “Sorry, Danny Baker needs to go. There’s far too much tolerance of racism. Make it stop.”
On Thursday, Baker posted a tweet in which he claimed he had been fired from his role at the BBC, writing: "Just got fired from @bbc5live.
"For the record - it was red sauce. Always."
During the photocall, Meghan said that the newborn has the “sweetest temperament” and is “really calm”.
“It’s magic, it’s pretty amazing,” the 37-year-old added.
“I have the two best guys in the world so I’m really happy. He’s just been the dream so it’s been a special couple of days.”
Follow The Independent‘s live updates regarding the royal baby here.
Join our commenting forum
Join thought-provoking conversations, follow other Independent readers and see their replies