Plumes of smoke filled the air after the fire broke out at a property in Pembroke Street, Old Town, with emergency services arriving at the scene at 5pm.
A local resident shared a video of the fire with the ad.
The fire is believed to have been extinguished around 45 minutes later at 5.45pm and people are commenting on social media that there appear to be no injuries.
Wiltshire Police confirmed they were in attendance to support their 999 colleagues and the road was closed while the fire was tackled.
Dorset and Wiltshire Fire and Rescue Service has been contacted for an update.
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