The arrests come after Wiltshire Police received a report of rapes relating to multiple victims at a property in Ratcoombe Road, Peatmoor.
The offences relate to three teenage girls aged under 16 years old, who are receiving support from specially trained officers.
Three men, aged 24, 20 and 18 years old, have been arrested arrested on suspicion of rape.
They have since been bailed as enquiries continue.
Police cordoned off a property in the road after attending on Saturday, May 31 and were there for the majority of June 1 carrying out investigations.
DS Craig Rathbone of Swindon CID, who are responsible for the investigation, said: "We are taking this incident incredibly seriously and have already made three arrests in connection with it.
"I appreciate the community concern this incident will cause, however please be assured it is being treated as a targeted incident that occurred within a property in the course of one evening.
"The victims involved are all being supported by specially trained officers, and our enquiries are ongoing."
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