The much-needed aid was being unloaded from a Colombian ship at the port in the southwestern town of Dame-Marie when a stampede occurred on the dock in the afternoon.
"The Brazilian peacekeepers who were there supporting the Haitian national police fired rubber bullets and two tear-gas grenades," Mourad Wahba, the UN humanitarian coordinator in Haiti, told AFP.
National police fired live ammunition on the crowd demonstrating over the slow pace of aid some three weeks after Hurricane Matthew struck southern Haiti, killing at least 546 people and leaving 175,000 without homes.
The exact circumstances surrounding the death, however, were not immediately clear.
A spokesman for Haiti's national police said he was unable to confirm details surrounding the fatality.
UN Secretary-General Ban Ki-moon has recently voiced distress and disappointment at scant emergency aid reaching the struggling nation.
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