The baby boy, named Sacha, was born on the morning of New Year’s Day between midnight and a minute past midnight at the Moulins Hospital Centre, in central France, the hospital announced.
Sacha, measuring 48.5 cm long and weighing 2.92 kilograms, was conceived through artificial insemination in Belgium.
His mother, Maude, has been in a civil union with her partner, Delphine, since 2010, according to the regional newspaper La Montagne.
Maude was admitted to the hospital at 5am on New Year’s Eve.
The couple is said to be hopeful the French parliament would soon pass a law allowing same-sex marriage so they could get married.
France’s national assembly is due to consider the bill later this month as supporters and opponents of same-sex marriage step up their campaigns.
Under current laws, Delphine has no legal status in relation to the child.
The following countries have already legalised gay marriage:
The Netherlands (2001)
Spain and Canada (2005)
South Africa (2006)
Argentina, Iceland, Portugal (2010)
Nine US states, including Connecticut, New York, Massachusetts and Washington, have also legalised same-sex marriage.