Steven Bonnar, MP for Coatbridge and Bellshill, is said to have hung the team’s flag in the window of his home in Lanarkshire on 16 April.
However when confronted by a neighbour in an exchange which took place a month into the coronavirus lockdown, the two are alleged to have got into an argument.
While initially no charges were made, officer have since returned to the case following further investigation.
A Police Scotland spokesperson said: “Following further inquiries, Police Scotland can confirm two men aged 38 and 51 have been charged in connection with a disturbance at an address in Columbia Court, Uddingston, on Thursday 16 April, 2020.
“A report will be submitted to the procurator fiscal.”
Mr Bonnar and the SNP have been approached for comment following the charges.
Additional reporting by Press Association