In the advert for Australian bookmaker Sportsbet, which promotes their mobile phone app, Johnson describes himself as the "88 Games 100m gold medallist".
However, he is accompanied by text on the screen reading "for 48 hours".
"When it comes to performance enhancement, Ben really knows his stuff," a voiceover on the advert says.
The mobile app is then described as "juiced-up".
Johnson adds: "It tested positive for speed and power, again and again."
ASADA said it had lodged a complaint about the advert with the "relevant authority".
"The Australian Sports Anti-Doping Authority notes the current advertising campaign by online gambling company, Sportsbet," a statement said.
"ASADA does not condone the message sent in this advertisement.
"This advert makes light of the use of performance enhancing drugs in sport and sends the completely wrong message that the use of drugs in sport is normal.
"This advertising campaign belittles the achievements of clean athletes and denigrates those who work to protect clean sport across the world."
The advert has also been criticised by Australian Sports Minister Greg Hunt who described it as "utterly inappropriate".
Sportsbet have remained defiant, however, posting in a blog post: "We thought it was pretty funny - but sections of the media lost their absolute minds".
The company has said they have no plans to pull the advert.
"We've received overwhelmingly positive support from the public and they see it for what it is, a tongue-in-cheek joke," a spokesperson added.