"Yeah," the two-year-old replies happily.
The video went viral and caused a firestorm of criticism on social media.
One user quipped: "Nutella is PACKED with sugars. Don't make your kids blow up."
"Nutella is hella bad for you," another person agreed.
The most vicious comments came from a user who called Clarkson's actions "child abuse".
"Giving food like this to a child is child abuse," they wrote.
Other online trolls falsely claimed that Nutella had been "confirmed to give cancer".
River Rose is Kelly's first child. She and husband Brandon Blackstock also share son Remington, who will turn one this month.