A concerned constituent contacted Scotland after discovering the issue, and said she feared the mistake could affect a close race if votes were disqualified as a result.
The STV system is used for Scottish Parliament and council elections.
A spokesperson for Glasgow City Council stated: “The error was spotted very soon after the polling station opened and after the first few voters entered. It was replaced with the correct information.
“No one has been disenfranchised as the first preference will be taken from the ballot paper.”
Chris Highcock, secretary to the Electoral Management Board for Scotland, confirmed the votes would be counted.
He said: “On a paper marked with numbers the clear preference would be for the candidate numbered 1.”
