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Armed officers have been scrambled to a residential street after witnesses reported seeing a man with a gun.
Officers were called to an address in Cobham Terrace, Greenhithe, just before noon.
A police helicopter is also understood to have been deployed in the area.
Kent Police spokesman Vicki Foster said: "Kent Police was called at 11.41am on Friday to a report of a distressed man inside a property in Cobham Terrace, Greenhithe.
"Officers attended along with Secamb and a man was taken to a local hospital as a precaution."
An imitation firearm was recovered from the scene.
Police in nearby Bean Road