A first bus carrying 43 minors left the area around 8:30 am (0730 GMT) for the southwest, rapidly followed by a second one.
More than 30 buses have been deployed to transfer the minors to 60 centres nationwide.
The dismantling of the informal part of the camp that once housed up to 10,000 migrants, most of whom hoped to reach Britain, was completed on Monday night.
Over 4,000 adults who had been living in tents and shacks - mainly Afghans, Eritreans and Sudanese - were moved to reception centres across France last week, before the bulldozers moved in.
The plight of the unaccompanied children has been the subject of testy exchanges between France and Britain.
France is hoping that Britain will take in most of the unaccompanied minors who travelled alone across the Mediterranean and up through Europe, in the hope of stowing away on trucks crossing the Channel to England.
After initially dragging its heels on the issue, Britain in mid-October speeded up the transfer of child refugees.
Some aid agencies have warned that scattering the children around France could hold up that process.
French authorities have assured that the minors still be able to pursue their dream of Britain from the far-flung shelters to which they are sent.
"No further transfer applications will be handled in Calais," an official document circulated among the teens yesterday read.
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