A seven-year-old girl drowned on Sunday when a small boat carrying 16 migrants heading from northern France to Britain capsized, the prefecture in France's Nord department said.

The boat "was not appropriately sized to carry so many people," the local authority said in a statement, causing it to capsize soon after people boarded in the Aa canal a few kilometres from the waterway's exit into the Channel.

Police and firefighters rushed to the scene after a person out for a walk raised the alarm, the prefecture added.

It said the girl's parents, who were travelling with three more of their children, were taken to a hospital in Dunkirk.

The "apparently stolen" boat was carrying another couple, two more men and six young children, all of whom were brought to the hospital.

Sunday marks the third fatal incident in a Channel crossing attempt this year.

A 22-year-old Turkish man died on Wednesday after falling overboard into the sea off Calais, while two more migrants remain missing.

An Eritrean citizen suspected to be part of a gang has been charged with manslaughter in that case and held in custody since Saturday.

Five more people including a 14-year-old Syrian boy were killed in mid-January as they tried to board a boat in chilly seas south of port city Calais.

Last year, 12 people were killed in crossing attempts, while 29,437 reached Britain, according to figures from London's interior ministry. (AFP)