Kent Police were called to Spital Street at 8.19pm Saturday, August 31, after reports of an assault.
Emergency services arrived at the scene and found two men and a woman suffering from injuries consistent with stab wounds.
All three victims were rushed to a London hospital, where they are currently in stable condition.
Police believe the suspect and the victims are known to each other, and they are treating the incident as isolated.
On Monday, September 2, a 29-year-old man was arrested in Scotland.
He will be brought to a Kent Police station as detectives continue their investigation.
