John Killeen was last seen at 9.20am on Monday, February 12 in Bromley and has not been seen since.
The 34-year-old is known to have links to Kent, the south coast and central London.
John is described as a 6ft 4ins white man, with brown eyes and curly hair.
If you have seen John, call police quoting the reference 24MIS004573.
Report immediate sightings by calling 999.
PC Paul Holmes, from the local policing team in south-east London, said: “John has been missing for almost a week and we are growing increasingly concerned for his safety.
“We would urge anyone who has seen him or knows where he may be to contact us as soon as possible.”
A spokesperson for the Metropolitan Police said: “John Killeen, 34, was last seen at around 09:20hrs on Monday, 12 February in Bromley and has not been seen since.
“He is known to have links to Kent, the south coast and central London.
“John is described as a 6ft 4ins white man, with brown eyes and curly hair.
“If you have seen John, or you have any information about his whereabouts, please contact us on 101, quoting reference 24MIS004573.
“Report immediate sightings by calling 999.”