The dad known as Bob-Tat, who is a tattoo artist himself, posted the results of his latest tattoo on Facebook.
He wrote: "Today was [Chloe's] first real tattoo. A little wobbly but she did great and it's still cute. Keep in mind she just turned four end of August!"
The dad said he will be adding to the strawberry tattoo to create a personal touch: "The strawberry will have a wu tang 'w' in it eventually because Chloe sings 'bah bah black sheep have u berry wu'.
"So proud of u Clo. #daddydaughtertattoo."
Bob-Tat's bold move was picked up positively by others after he posted the photo on Facebook, and has been shared nearly 14,000 times in just over a week.
"This is adorable and she will grow up with that memory on you forever. Such a beautiful story and you must make an awesome dad," wrote one person.
Another wrote: "Such a great idea. Never to young to learn."
And the majority of people were pretty impressed with Chloe's handiwork. One person wrote: "I mean... what strawberry has a smooth surface? Fantastic job!"