The Norwegian Nobel Committee announcing on Friday, October 9, said the WFP had acted "as a driving force in efforts to prevent the use of hunger as a weapon of war and conflict".
The Nobel Peace prize is worth 10m Swedish krona ($1.1m; £872,600).
The WFP is now the 101st winner of the celebrated and highly respected prize, saying it was "deeply humbled".
"This is in recognition of the work of WFP staff who put their lives on the line every day to bring food and assistance to more than 100 million hungry children, women and men across the world," it said on Twitter.
WFP head David Beasley told the Associated Press news agency it was "the first time in my life I've been without words".
About 211 individuals and 107 organisations were nominated for the prize this year.
Trump was nominated for his efforts in bringing a peace deal between Israel and UAE, Israel and Palestine, Kosovo and Serbia and initiating a peace deal with the Taliban in Afghanistan.
