Authorities have given the thousands of people living there two options: seek asylum in France or return to their country of origin.
Some 6,900 refugees, more than 1,200 of them children, live in the encampment, a jumble of squalid tents and temporary shelters.
Clashes between migrants and police erupted Saturday night at the camp, said Sue Jex, head of operations for the charity Care 4 Calais. She said a number of buildings inside the camp were destroyed by fire.
By Sunday night, CNN counted at least seven vans loaded with riot police, armed with tear gas, arriving on the scene.
On the outskirts of the camp, migrants gathered around small fires on the gravel path and in a dumpster. One person taunted a group of police officers near one of the small fires and attempted to film them on his mobile phone. Police charged toward him until he backed off and moved away. At least six small fires were spotted within the camp and its outskirts.
A large number of police are on hand to prevent crowd problems. More than 1,000 riot police officers were deployed to the camp Sunday ahead of the closure, an Interior Ministry spokesman told CNN. Horse-mounted police were seen near the camp.
"It's very tense because people know that change is coming," Jex told CNN. "There is a real acceptance that the camp is going (away)."
The plan is to have the camp completely torn down by December, according to the Interior Ministry. The camp sprawls over about 40 acres of sand dunes once used for landfill, with different nationalities in different sections.
Many in "The Jungle" are reluctant to register as refugees in France because their preferred destination is Britain.
"I try to stay in England but I don't have money to go in England or to stay in France. I think it is so hard for me, it is not easy ..." one Sudanese migrant said. "Only God can help me right now."
A volunteer French teacher at a school in the camp said people are worried because they do not know where they will go.
"They have no idea which place they're headed to and above all if they are going to stay with their friends," said Michel Abecassis. "We are all very worried, I am very worried. A lot of people are here with very close friends and of course their hope is to be in a reception center with their friends, and not to just be sent anywhere."
On Sunday, foot patrols of volunteers distributed flyers explaining that the camp is to close and outlining the two options open to its occupants: seek asylum in France and be relocated within the country, or return to their country of origin.
Authorities say residents of the camp will be processed on a first-come, first-served basis beginning Monday at 8 a.m. local time.
Residents were given a letter Sunday, translated into several languages.
The letter, obtained by CNN, tells the residents to make their way to a reception point where they will be put on buses.
"Everybody living in the Calais jungle will have to leave in order to be sheltered in one of the French reception and counseling centers," the letter said.
The letter assures migrants that they would be offered accommodation and meals.
Most of those living in the camp are from sub-Saharan Africa -- Sudan, Eritrea and Ethiopia -- and Afghanistan; they have spent months or even years there in the hope of reaching the UK, some 30 miles away across the English Channel. Refugees from war-torn Iraq and Syria have also set up temporary homes in the Jungle.
Those who choose to apply for asylum will be offered the choice of two French regions. They will be taken to the location they choose by bus almost immediately and offered temporary accommodation in a shelter while their claim is processed.
Up to 60 buses are expected to leave the camp on Monday, with dozens of further departures through the week.
Special provisions are to be made for unaccompanied minors.
The evacuation operation is expected to last a week, but a ministry spokesman told CNN: "If it takes more time, so be it. We have all the time in the world."
Anyone who opts to go home will be taken there by plane.
Camp inhabitants who have already sought asylum elsewhere within the European Union will be transported to that country while their application is processed.
Cleaners are expected to begin work at the site on Tuesday, expanding their "cleaning zone" as the evacuation proceeds.
At a press briefing in Geneva earlier this week, UNHCR spokesperson Adrian Edwards said the closure was welcomed as long as the French government provided a suitable solution for the displaced. He noted that the lives of children would be particularly at risk during the demolition.
"This is important so that children don't move on to other destinations and risk becoming exploited by human traffickers or end up living on the streets without any support," he said. "Strengthened measures must be taken to reunite children with relatives in Europe."
The UN says 200 of the unaccompanied children in Calais have been identified as having family links to the UK. The British government has pledged to offer them a home, but only a handful have so far been taken to the UK.