The attacker was then killed by a SWAT team after a standoff with police, officials said.
Though the ISIS-linked A’maq agency reported the killing was done by an “Islamic State fighter,” there has been no direct claim of responsibility.
A woman’s body was found in the house, according to Pierre-Henry Brandet, spokesperson for the French Interior Ministry.
The SWAT team was able to rescue the son, the French Interior Ministry added.
French government spokesman Stephane LeFoll said the case has been turned over to the terrorism prosecutor.
The killings come as France is on high alert for terrorist attacks as it hosts the Euro 2016 football championship, Europe’s centerpiece football event.
U.S. and British officials have both warned their citizens about the potential terror risks of attending.