"People affected by co-morbidities can be vaccinated with AstraZeneca, including those aged between 65 and 74," the health minister said.
Last month France approved use of the vaccine for under-65s only, citing lack of data for older people.
Since then studies have shown the jab is highly effective among the elderly.
How effective is the Oxford vaccine?
The Oxford-AstraZeneca vaccine is widely used across the UK, but several EU countries are still limiting it to the under-65s, including Germany.
The EU drugs regulator has approved it for all adults, but it is up to each member to set its own roll-out policy.
In a further development, Canada's immunisation commission on Monday advised against giving the AstraZeneca vaccine to over-65s, saying clinical trial data for that age group was too limited.
Speaking on television, French Health Minister Olivier Véran said people with pre-existing conditions could get the Oxford-AstraZeneca vaccine from GP surgeries, hospitals and "within days" from pharmacies.
Those aged over 75 will still be offered either Pfizer or Moderna jabs in a vaccination centre, he added.