The Prime Minister's office says it has "more important" things to do than comment on a photo of John Key watching his son Max "planking".
The photograph of Key and Max was posted to the Planking New Zealand sport league Facebook page at the weekend.
It shows the Prime Minister standing behind Max, who is lying face-down on the back of a couch.
A spokesman for the Prime Minister said Key had no comment to make on the photo.
More than 100 people had "liked" the Facebook photo captioned "PM plank!".
Tony Goodall was the first to comment with "This a Key Plank".
Other people were not as supportive. Sarah Noell Conaghan wrote: "Look! John Key is trying to get us to actually like him. Ha ha planking won't get you that far John!"
Planking New Zealand commented that it "loved John Key because he loves planking responsibly".
Planking involves a person lying flat on their stomach across an unusual space with their face down and arms at their side. The trend became popular when people began posting photographs of themselves planking on social networking sites.
It hit the headlines this month when an Australian man died after falling seven storeys while attempting to plank on a balcony in Brisbane.
A Tauranga schoolboy apologised for planking across a railway line after a photograph of his stunt appeared online.
Three Fonterra employees - two men and a woman - were suspended after they were caught planking in a Timaru dairy factory. It is understood the incident, captured on a mobile phone, at the Clandeboye butter-making plant occurred late last week and took place nearly three metres above the ground.
Fonterra requires staff members to get permission to work at heights of more than two metres and to wear special safety equipment, such as a harness. The company declined to comment yesterday.
Police have warned people of the dangers of planking on precarious buildings or objects.