Jeneve (Jenny) McKee, 68, was last seen at Swanley train station on Saturday (April 6).
Police believe she may have caught a train towards London.
Jenny is around five feet tall, of slim build and has shoulder length blonde hair.
She wears glasses and was last seen with a black coat that had a fur hood.
Jenny also has links to the Dover and Eastbourne area.
Anyone with information is asked to call 999, quoting reference 08-0245.
A spokesperson for Kent Police said: “Kent Police is appealing for information to help find a woman reported missing from Swanley.
“Jeneve (Jenny) McKee, 68, was last seen at Swanley railway station on Saturday 6 April 2024.
“It is thought she may have caught a train towards London.
“She is described as being around five feet tall, of slim build with shoulder length blonde hair.
“Jeneve wears glasses and when last seen had a black coat with a fur hood.
“She also has links to the Dover and Eastbourne areas.
“Officers are concerned for Jeneve’s welfare and are urging anybody who has seen her or knows of her whereabouts to call 999, quoting reference 08-0245.”