It's fake. It was an April Fool joke by a show on "Channel 933 FM", presumably an American radio staion. From their website...
THE PLAYHOUSE GOTCHA!!!
For April Fool's Day, the Playhouse created and promoted a fake website called "Baby Ink". The website showed children getting real tattoos. We even brought in a fake tattoo artist and pretended to tattoo a baby live on the air...in the end we revealed our joke! Click here to see the baby tattoo website!