The incident happened during Rangers' 3-0 victory over visitors Annan Athletic in their Scottish Third Division fixture.
A police spokesman said: "We can confirm there was a disturbance within Ibrox stadium during the Rangers FC versus Annan Athletic match.
"It was brought swiftly under control by stewards and eight persons were arrested."
Police gave no more details of the disturbance.
At the match, club chief executive Charles Green gave a speech and spelled out details of the club's share listing on the Stock Exchange this morning, having raised £22m from institutional investors and fans.
However, a section of the crowd held up printed placards to demonstrate against a proposal which could see naming rights for Ibrox sold off.