Images on social media show fans in the Draft Project – a pop-up bar – embracing as they enjoyed the team’s qualification for the delayed Euro 2020 championship.
The Scotland men’s national team went to extra time and penalties against Serbia – and beyond closing time for licensed premises.
Aberdeen is currently in Level 2 of coronavirus restrictions and rules state no more than two household can mix in pubs and all customers must be off the premises by 22.30pm.
Police said there were no arrests or fixed penalty notices issued in relation to the alleged incident.
Chief Inspector David Howieson said: “We are aware of footage circulating on social media following the Scotland game last night.
“Officers were on patrol within the city centre throughout the evening and in attendance at the premises in question where they supported staff who ejected a number of patrons following a spontaneous reaction to the first Scotland goal.
“Police are working in close consultation with the local authority environmental health and licensing teams to investigate the full circumstances.”
An Aberdeen City Council spokeswoman said: “We are investigating the circumstances of last night with Police Scotland.”
Susan Webb, director of Public Health at NHS Grampian, said she is aware of the footage.
“While I cannot comment on these specific circumstances, I can say this – this virus does not rest,” she said.
“It does not take a minute off, much less 90 minutes, extra time and penalties.”
She added: “I absolutely understand the desire to celebrate. Staff working across the NHS want to celebrate, too.
“We want to return to normal. That can only happen if we all work together and keep sticking to the guidance.”
SNP Aberdeen Central MSP Kevin Stewart tweeted on Thursday: “Today 58 people in Grampian tested positive for Covid19.
“Tonight, I am receiving messages with video footage from an Aberdeen bar featuring clear breaches of regulations.
“This is not good enough & I will be contacting the police & the council tomorrow & they must investigate.”
Reporting by PA