Alcohol Concern has said that parents who give alcohol to under-15s, even with a meal at home, should face prosecution.
The charity made the recommendation as part of a wide-ranging set of proposals to cut child drinking.
The report, entitled Glass Half Empty, looked at the impact of the government's Alcohol Harm Reduction Strategy, which was published three years ago.
It highlighted figures, which showed the amount of booze consumed by 11-13-year-olds had increased in recent years.
Girls in the age group who had drunk alcohol in the previous week admitted to consuming an average of just over eight units in 2006, compared with just under five in 2000, while boys admitted drinking an average of 12 units last year compared with eight in 2000.
An Alcohol Concern spokesman said: "Currently it is legal to provide children as young as five with alcohol in a private home. Raising the age limit to 15 would send a stronger message to parents of the risks associated with letting very young people consume alcohol.
"We hope it would send a message to parents that underage consumption is an important issue, and may help them think about whether they are helping their child drink alcohol."
However, David Poley, Portman Group Chief Executive, said:?? "There is a case for raising the drinking age at home from 5 but 15 seems too high. On the continent, parents give children small amounts of alcohol at home with their meals in a controlled way so they get used to drinking in moderation. They don't suffer from binge drinking issues. ??
"Alcohol Concern's proposal wouldn't get to the root of the problem which is children drinking unsupervised, in parks for example. It should be left to parents to decide when to allow their children to drink. Saying no to children will only increase the appeal of alcohol and could create even more problems."
The charity also called for a 16% increase in alcohol taxes and a ban on brewers or retailers selling alcohol at a loss.
It also said that the law on sale of alcohol to underage children should be more vigorously enforced, after recent Home Office-led stings showed 29% of children were able to buy alcohol in pubs and bars.
