"We recommend that Iraq immediately cease using excessive force against peaceful demonstrators, particularly the unlawful use of tear gas canisters and live ammunition, and hold accountable, in a transparent manner, those responsible for this violence," Daniel Kronenfeld, Human Rights Counsellor at the US Mission in Geneva.
The Netherlands called the use of force "unlawful, indiscriminate and excessive". Germany expressed deep concern and urged immediate steps to prevent further loss of life.
The United Nations Assistance Mission in Iraq released a set of recommendations on Sunday, including the release of peaceful protesters and investigations into deaths.
Iraq's ambassador to the United Nations in Geneva, Hussain Mahmood Alkhateeb, said the plan envisaged by Baghdad to address unrest was already being implemented and went "wider" than the U.N. proposals.
"No demonstrator will stay in prison unless there is a criminal investigation against them," he told Reuters.
Asked whether Iraq would consider trying Islamic State fighters on their own soil, as France and the United States has urged, he said: "Iraq believes that countries should take their nationals and this is a policy we are committed to."