Peter Wedge was last seen in the Ramsgate Road area of the town at around 11.30pm on Monday 16 August 2021.
The 61-year-old, who is from the Herne Bay area, is described as being 5ft 11ins tall, of medium build and with short grey hair.
He is reported to have been wearing a black T-shirt, black trousers and black trainers when last seen and was carrying a black cap and coat.
Officers are concerned for his welfare and urge anyone who has seen him or knows of his whereabouts to call 101, quoting 17-0013.
