Tesco plans to give Clubcard members points for using their own bags instead of the supermarket's to encourage shoppers to use fewer bags and to recycle.
The scheme will be supported by a TV ad campaign featuring Martine McCutcheon, Paul Daniels, Ronnie Corbett, Alan Whicker, Alan Titchmarsh and jockey Frankie Dettori.
However, Friends of the Earth said that even if the supermarket reduces the number of carrier bags it hands out, it will still be giving away 3bn a year.
The international environmental charity also criticised Tesco's plans to make its bags biodegradable. 'They will still be made from plastic and still place huge demands on oil resources,' it said.
The group is also calling on the supermarket to reduce its food packaging.