Fordham's Co-op has become the latest to be targeted by ramraiders.
Police received a call at 1:30am today with reports of an attempted ramraid at the Carter Street Co-op.
Thieves used a silver BMW X3 to smash the brickwork and window of the food store and then used a rope to try and drag the freestanding cash machine from the store. As they were pulling the ATM, the rope snapped and the men fled.
The gang is believed to have left the scene in two other vehicles, leaving the BMW behind.
No arrests have been made with police continuing their investigation.
A police spokesman said: "Anyone with information regarding this incident should call police on 101 quoting CF0015500118 or visit cambs.police.uk/report. Alternatively, contact Crimestoppers, anonymously, on 0800 555111 or via crimestoppers-uk.org."
Late last year Burwell's two Co-op stores were targeted by ramraiders in the space of a month.