His remarks come ahead of Iraq's Gulf Cup of Nations semi-final match against neighbouring Kuwait in Aden, Yemen, on Thursday afternoon, with Maliki calling for "legal measures" to be brought against those who fire their weapons to mark success for the Iraqi national football side.
"The commander-in-chief of the armed forces has called on the security forces to take legal measures against those who fire their guns" in celebration, the statement said, referring to Maliki.
"He called for the people to celebrate in civilised ways, and to express their happiness in ways that do not take others' happiness."
It added that much of Baghdad saw celebratory gunfire in recent weeks as Iraq has emerged from the group stage of the Gulf Cup, leading to one person being killed and 37 wounded.
Similar warnings were made ahead of Iraq's 2007 Asia Cup final with Saudi Arabia in Jakarta, but celebratory gunfire erupted following Iraq's 1-0 victory, with four people reportedly killed as a result.