The confirmation of the timetable comes hours after four French soldiers were killed and five others wounded.
The Taliban said one of their suicide bombers carried out the attack on a Nato convoy in Kapisa province.
Withdrawing French troops by the end of 2012 had been one of Mr Hollande's election pledges.
The date means that French forces will leave the country two years before the main Nato pullout.
Violence has risen across the country in recent weeks, with the Taliban targeting both the Afghan forces and the 130,000 foreign troops remaining in the country.
Afghan officials said the bomber in Saturday's attack approached a French Nato convoy wearing a burka.
Several Afghan civilians were also wounded in the attack.
Mr Hollande said in a statement that a "national tribute" would be paid to the soldiers.
Until the pullout is completed, "everything must be done for our troops to meet their obligations but with... the greatest vigilance for the lives of the soldiers," he added.
France is currently the fifth largest contributor to Nato's Isaf force, with nearly 3,300 soldiers.
The deaths bring to 87 the total number of French fatalities in the country since 2001.
In January the killing of four French soldiers in Kapisa prompted then-President Nicolas Sarkozy to announce a withdrawal by the end of 2013.
Mr Hollande brought it forward by a further year, fulfilling an election pledge.

Paul McWhir, 51, of Castle Douglas, admitted four charges including rape and acting in a lewd and libidinous manner.
The abuse mainly took place at a farm in Dumfriesshire in the early to mid-1990s.
Sentence was deferred until next month at the High Court in Glasgow.
McWhir preyed on the child for more than three years starting when she was just 10, the court was told.
However, it was only last year that the victim disclosed her ordeal to police.
McWhir was then confronted by his own relatives who demanded he hand himself in.
The court was told the abuse had had a "significant impact" on his victim.

There is growing evidence that wild birds move the disease around the world as they fly thousands of miles to their winter homes.
Researchers studied the genetic code of flu viruses in birds from 16 countries infected during the 2014 outbreak.
They say bird flu was carried by migrating birds from Asia to Europe and North America via the Arctic.
Bird flu is an infectious disease of poultry and wild birds.
The strain studied was H5N8, which first appeared in South Korea in early 2014.
The virus later spread to Japan, North America and Europe, causing outbreaks at poultry farms between autumn 2014 and spring 2015.
"Bird flu is a major threat to the health and well-being of farmed chickens worldwide," said lead researcher Dr Samantha Lycett of the University of Edinburgh.
"Our findings show that with good surveillance, rapid data sharing and collaboration, we can track how infections spread across continents."
The study suggests that the virus spread along two main migration routes - or flyways - for wild birds:
According to international scientists, contact with infected wild birds or materials contaminated with their droppings was the most likely route of transmission.
Commenting on the research, Dr Derek Gatherer of the University of Lancaster said H5N8 is the latest in a long line of bird flu outbreaks to cause concern.
"Flyways are the routes that migrating ducks, geese and other wildfowl follow every year from their breeding grounds to their winter retreats," he said
"Just as a human airline passenger can spread human flu from continent to continent, each migratory bird that carries bird flu is a potential spread risk to other points along its flyway."
The study, published in the journal Science, was conducted by the Global Consortium for H5N8 and Related Influenza Viruses.
Follow Helen on Twitter @hbriggs.

19 December 2016 Last updated at 16:54 GMT
France will begin its troop withdrawal from Afghanistan in July and complete it by the end of the year, French President Francois Hollande has said.
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A court has heard how a child abuser was forced to go to police by his own relatives after it emerged he had attacked a young girl.
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Monitoring birds on their long distance migrations may provide early warning of bird flu outbreaks, say scientists.
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RHI at Stormont - Watch the key moments in 60 seconds.