Police attended Leechcroft Avenue on Sunday (June 8) at around 4pm after concerns raised about the activities at a property on the road.
Two men, in their 30s and 50s, were arrested on suspicion of keeping a brothel used for prostitution.
They have since been released on bail while investigations continue.
Officers were seen at the property throughout the Sunday and yesterday (June 9).
A Metropolitan Police spokesperson said: “Police attended an address on Leechcroft Avenue, Sidcup on Sunday, 8 June at around 16:00hrs following concerns raised surrounding activities at the premises.
“A man in his 50s and a man in his 30s were both arrested on suspicion of keeping a brothel used for prostitution.
“Both suspects were released on bail while enquiries continue.”
Anyone with information is asked to call police on 101 quoting CAD 8791/04JUN or contact Crimestoppers anonymously on 0800 555 111.