BANGKOK — Rejecting arguments made by Myanmar’s civilian leader, Daw Aung San Suu Kyi, the International Court of Justice at The Hague ruled on Thursday that Myanmar must take action to protect Rohingya Muslims, who have been killed and driven from their homes in what the country’s accusers call a campaign of genocide.

The court said Myanmar must “take all measures within its power” to prevent its military or others from carrying out genocidal acts against the Rohingya, who it said faced “real and imminent risk.” It also essentially put Myanmar under court oversight, telling it to submit regular reports to the tribunal explaining what steps it had taken.

The decision is the first international court ruling against Myanmar over its military’s brutal treatment of the Rohingya. While the court has no enforcement power, any member of the United Nations can request action from the Security Council based on its rulings.

“The chances of Aung San Suu Kyi implementing this ruling will be zero unless significant international pressure is applied,” said Anna Roberts, executive director of the rights group Burma Campaign UK.