Pro-smoking group Forest, the Freedom Organisation for the Right to Enjoy Smoking Tobacco, has launched a Hands Off Our Packs (Hoops) campaign.
Director Simon Clark has described plain packaging as "the persecution of a minority lifestyle choice".
He said: "Plain packaging is yet another attack on retailers and adult consumers. People are sick of being nannied by government. Britain needs to be protected from excessive regulation, not controlled by more and more legislation."
The British Heart Foundation's director of policy and communications, Betty McBride, said: "Tobacco advertising is rightly banned in the UK, yet current glitzy packaging clearly still advertises tobacco on the cigarette box.
"It's an absurd loophole the tobacco industry takes full advantage of to lure in new young smokers."
The Government will pave the way for cigarette packets to be stripped of all branding, Health Secretary Andrew Lansley said.
The coalition's public consultation on plain packaging will launch on Monday, with Mr Lansley telling The Times attractive packaging enticed smokers.
He said he was "open minded" about the consultation, but added: "We don't work in partnership with the tobacco companies because we are trying to arrive at a point where they have no business in this country."