The burglary, at an address in Beechen Drive, Hillfields, took place on 27th January when goods including an iPad, jewellery, a watch and camera equipment were stolen.
Intelligence led police to make the arrests on Saturday 8th February at another address in Hillfields, after CCTV at a shop in Broadmead showed a suspect trying to sell the stolen camera equipment.
Two 18-year-old men and one 21-year-old man, all from Hillfields, have been bailed until 7th March whilst investigations continue.
Investigating officer Shaun Screen, from Bristol’s Priority Crime Team, said: “These arrests show that we are committed to relentlessly hunting down burglars and bringing them to justice, but we need the help of the local community to solve crimes.
“If you give us information, we will act on it. If you suspect anyone in your community is involved in crime, or have any information about crimes you may have witnessed, please contact us on 101.”