Officers stopped a motor on Sikeside Street in the town at around 1pm on Friday, September 13.
Following that, a 21-year-old man and a 22-year-old woman were arrested in connection with alleged police assault and disorder offences.
An investigation is underway.
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After the ‘incident’, police say two officers suffered minor injuries but did not require hospital treatment.
A spokesperson for Police Scotland said: “Around 1pm on Friday, September 13, 2024, officers stopped a car on Sikeside Street, Coatbridge.
“A 21-year-old man and a 22-year-old woman have been arrested in connection with police assault and disorder offences and enquiries are ongoing.
“Two officers suffered minor injuries but did not require hospital treatment.”