Emergency services were called to Spital Street at 8.19pm on Saturday, August 31.
The victims’ stab wounds are not thought to be life-threatening.
Spital Street remains closed as an investigation is carried out in the area.
A spokesperson for Kent Police said: “Kent Police was called following a report of an altercation on Spital Street, Dartford at 8.19pm on Saturday 31 August 2024.
“Emergency services attended and three people were taken to hospital with injuries consistent with stab wounds, which are not believed to be life-threatening.
“An investigation to determine the full circumstances is ongoing and officers remain in area, with Spital Street currently closed to assist enquiries.”
