More than 50 officers executed warrants at properties across the borough during the crackdown, which was part of the Met-wide Operation Hawk.
A 20-year-old man man was arrested on suspicion of possessing a class A drug after police executed a warrant at a house in Heston.
In other raids, a 22-year-old man was arrested on suspicion of possession with intent to supply drugs, and a 37-year-old man was arrested for failing to appear at court for a theft from motor vehicle offence.
Officers also battered down the door of a flat on the Ivybridge estate in Isleworth, but found no evidence of drugs on the premises.
Inspector Dee O'Brien, who led the raids, said: "We rely on information from the community and we want people to realise that when they tell us something we will take action.
"Drugs are not a big problem in Hounslow but, as in any London borough, they are an issue. We've had quite a reduction in calls to police in the borough around antisocial behaviour and drugs but we realise drugs contribute to a lot of wider crime, with people looking to feed their habits."
Police were joined on the raids by a team from BBC show Crimewatch and by councillor Richard Foote, Hounslow Council's cabinet member for community protection.
Councillor Foote said: "The council is working with the police to tackle crime and it funds 10 police officers in the borough.
"Raids like these aren't just about tackling drugs; they're also about addressing the crime that goes with that. Antisocial behaviour associated with drugs features highly on the list of residents' concerns."
Anyone with information about drug dealers is urged to call police on 101 or Crimestoppers anonymously on 0800 555 111. In an emergency always dial 999.