The victims, four women in their 20s, were hospitalized.
She said a 41 -year-old female suspect has been arrested.
A police spokeswoman told USA Today that the suspect did not yell any out any terror-linked threats.
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The Paris prosecutor's office said that its counter-terrorism division has decided for the time being not to assume jurisdiction for investigating the attack.
Fourteen firefighters arrived to the station four emergency vehicles after the incident at 11am.
In late August, the southern French port city of Marseille made global headlines when a van rammed into multiple bus stops, killing one person, in an act that authorities determined not to be terrorism.
French authorities are not treating the incident as terror-related. The alarming rise comes amid a clampdown on weapons and fears of a frightening new crime fad involving teenage motorbike thieves using corrosive substances, in part because they are relatively easy to obtain, The Washington Post reported last month.