Wiltshire Police are asking members of the public to come forward if they have any information following the burglary last weekend.
The force say enquiries are ongoing, following the break-in at the temple on Darby Close, which took place between Tuesday 31 August and Saturday 4 September.
After gaining access to the building, the offender or offenders have stolen a number of collection boxes and important artefacts.
Officers say this incident is the latest in a number of thefts and burglaries at the temple.
Superintendent Phil Staynings said: “Firstly, I would like to acknowledge the impact this burglary has had on our Hindu community within Swindon and I completely appreciate the frustration they must feel at being targeted by criminals again.
“We have been in regular contact with the members of the temple since the weekend and myself and our Police and Crime Commissioner Philip Wilkinson visited leaders at the temple today to listen to these concerns and update on our investigation.
“We are now progressing the forensic evidence we gathered at the scene and our neighbourhood teams continue to liaise with businesses and other premises nearby.
“I would, however, urge anyone with information to come forward now and help us locate those responsible.”
South Swindon MP Robert Buckland issued the following statement: "During my time as MP for South Swindon, I have spent many enjoyable hours with my friends at the Swindon Hindu Temple. This is the only Hindu Temple in Wiltshire.
“The Hindu community have worked hard to serve the local community from the Temple. They have served free meals, hosted blood donation camps, provided mental health workshops and helped the vulnerable during the pandemic.
“I am shocked and dismayed by the recent break in and the appalling actions of those who stole donations and desecrated the temple.
“My thoughts are with the Hindu community. I will do all I can to help our community during this difficult time.”
Those with information are being asked to contact Wiltshire Police on 101 and quote crime reference number 54210086131.