The derby between Edinburgh sides Hearts and Hibs will see both sets of supporters travel to Glasgow.
Police and representatives from the clubs sent a message to fans to enjoy the day and make it a "showpiece for Scottish football", while British Transport Police urged passengers to remember the occasion for all the right reasons.
Chief Superintendent Ellie Bird said: "We want to make sure that those few minority don't spoil it for everybody else. The message is absolutely clear: there is a ban on the consumption of alcohol on those trains.
"There will be zero tolerance as far as that is concerned."
A normal Saturday service will operate between Edinburgh Waverley and Glasgow stations, with fans only being segregated to different trains from Glasgow Central to Mount Florida and Kings Park.
Police will have a "visible presence" on some trains, with officers available to get on along the route.
Chief Superintendent Andy Bates, of Strathclyde Police, also warned travelling fans they risk arrest if drinking in public.
He said: "Come and have a great day out. Drinking in public in Glasgow is an offence. If people turn up drunk they could potentially get arrested and if they have waited a lifetime to see a final between Hearts and Hibs, what a waste that would be."