The luxury goods maker says it wants to help tackle a nationwide shortage of the anti-viral products across France.
"These gels will be delivered free of charge to the health authorities," LVMH announced on Sunday.
France has now seen 120 deaths from the coronavirus as the pandemic spreads.
"LVMH will use the production lines of its perfume and cosmetic brands... to produce large quantities of hydroalcoholic gels from Monday," LVMH said in a statement.
The factories normally produce perfume and makeup for luxury brands like Christian Dior and Givenchy.
The French luxury conglomerate also owns well-known brands such as champagne maker Moet & Chandon, watchmaker Tag Heuer and jeweller Bulgari.
"LVMH will continue to honour this commitment for as long as necessary, in connection with the French health authorities," the company said.
France has closed its restaurants, cafes and non-essential stores in an effort to combat the virus, which has infected an estimated 165,000 people and killed more than 6,000 worldwide.
Governments across the world have called on manufacturers to help make products that are running low during the virus outbreak.
UK Prime Minister Boris Johnson is due to ask UK engineering firms on Monday to shift production to build ventilators for the NHS.
In China, at the peak of its coronavirus outbreak in February, electronics giant Foxconn switched some of its production from Apple iPhones to make surgical masks.