Beckham, 40, posted a photo featuring a drawing of a smiley stick figure and a little heart tattooed on his palm, reported Aceshowbiz.
"Apparently Harper is allowed to scribble on daddy," he wrote in the caption.
"Harper is a true little artist," posted his wife Victoria on her Instagram page.
The former Manchester United star also debuted another tattoo on the same day inspired by his sons, Brooklyn Beckham, 16, Romeo Beckham, 13, and Cruz, 10.