A cashpoint outside Durrington Tesco was targeted and police want to speak to these people caught on CCTV.
On November 18 shortly after 12.30pm and at midday on November 27 the criminal damage took place.
Police shared this CCTV image on December 1, but the investigation is still ongoing.
If you can identify the people pictured, contact police on 101 quoting crime reference number 54210112700.
Get more Salisbury news.
You can also like our Facebook page and follow us on Twitter and Instagram to stay up to date, as well as signing up for one of our newsletters.
If you want online news with fewer ads, unlimited access and reader rewards - plus a chance to support our local journalism - find out more about registering or a digital subscription.
Email newsdesk@salisburyjournal.co.uk with your comments, pictures, letters and news stories.
Comments: Our rules
We want our comments to be a lively and valuable part of our community - a place where readers can debate and engage with the most important local issues. The ability to comment on our stories is a privilege, not a right, however, and that privilege may be withdrawn if it is abused or misused.
Please report any comments that break our rules.
Read the rules here