Kent Police says a number of people have been injured though no further details have been released about their conditon.
Officers were called to Green Street in Gravesend at 11.47pm on Saturday following the incident.
Footage posted on social media appeared to show a car inside a marquee at Blake’s nightclub as police led terrified people to safety.
The driver of the vehicle is believed to have been asked to leave the nightclub following an altercation before driving his car into the venue.
He is currently in custody.
One witness, Sonny Powar, said: “(The driver) drove his 4×4 into the tent we was all in and ran people over, it stopped at my feet so any further and I could of died then he reversed up and we all ran.”
He said it was “a complete mess of panic and chaos”.
Kent Fire and Rescue Service said they had been called to assist Kent Police at an incident.
A spokeswoman said: “We were called at 11.53pm to assist Kent Police at an RTC (road traffic collision) in Green Street, Gravesend.
“Two fire engines attended. We left the scene at 12.50am.”
Police say it is not been being treated as terror-related.
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Any witnesses are asked to call Kent Police on 101 quoting reference 17-1376.