Two out of three kids want cigarettes to be put out of sight in shops, according to a study.
The charity Cancer Research UK wants packets to be moved away from the tills and it spoke to 1,400 children to find out what they thought.
At the moment, shops are allowed to display the cigarettes they sell.
But some campaigners think that making tobacco products less visible could help reduce the number of young people who start smoking.
Tobacco advertising has already been banned on television, in newspapers and magazines and on posters on the side the road.
Cigarettes on display
Cancer Research UK wants the government to introduce new laws to ban tobacco from being displayed near tills and ban cigarettes being sold in vending machines.
It also wants tobacco products to be sold in plain packaging.
A spokesperson for the charity said: "Over 80% of smokers start before the age of 19 and half of all long-term smokers will die from cancer or other smoking-related diseases.
"That's why we want to make smoking history for our children."
Over the past few years the government has introduced new laws around tobacco - smoking in public places is now banned in England, Scotland, Wales and Northern Ireland.