The latest incident involved a 19-year-old woman who threw herself from the 12th floor of an apartment block in the Pablo-Picasso area of Nanterre, west of Paris.
Le Parisien newspaper reported that the woman lived with her mother and sister in the 18 storey block.
At around 8pm she jumped from the window and fell onto a barrier protecting the entrance to an underground car park.
"I saw her fall," a neighbour told the newspaper. "I was at the window and saw her fall onto the barrier."
On Sunday March 11th a nine-year-old girl died after throwing herself from the window of an apartment in a nearby block.
The girl was being looked after by a babysitter, along with her two sisters aged six and seven, and had reportedly been told off.
She went to a bedroom and jumped from a 15th floor window.
On Tuesday night last week a 32-year-old woman also died after jumping from a building in the same area.
She had reportedly been having dinner with friends and discussing her state of mind.
Suddenly, she got up from the table and threw herself from the window.