Houthi spokesman Talaat al-Sharjabi told the AFP news agency on Friday that the WFP had "largely failed in the biggest task for which it was chosen (for the Nobel Peace Prize), and that is combating hunger".
"A large number of people suffer from malnutrition... and there is also a failure on the WFP's part to be neutral in terms of humanitarian aid distribution," he said.
Yemen has endured years of aggression by the Saudi-led coalition that has created the worst humanitarian crisis.
Saudi Arabia and its allies started the war on Yemen in March 2015 and have since carried out more than 20,000 airstrikes, with one-third striking non-military sites, including schools, factories and hospitals, according to the Yemen Data Project.
As a result of the aggression and a Saudi blockade of the country, roughly 24 million people forced to rely on aid while 10 million are staring at famine.