The meeting is part of a three-day trip to the US east coast with Kate Middleton, including Prince William’s first visit to Washington.
The Duke of Cambridge is expected to give a speech at the World Bank on combating illegal wildlife trafficking.
Barack Obama has welcomed the prince’s work against what he called “a devastating environmental problem”.
The White House press secretary said the issue was also a “national security threat”.
Speaking about Prince William’s trip to America, he added that it “underscores the special relationship between the United States and the United Kingdom”.
In February, Prince Charles and Prince William attended an international conference held in London where a declaration was signed on fighting the illegal trade in wildlife.
While Prince William attends events in Washington, Kate Middleton will join Chirlane McCray – writer and wife of New York mayor Bill De Blasio – on a visit to a local child development centre.
Prince William previously met President Barack Obama when he travelled to London for a state visit in 2011.
The royals will also attend events in support of organizations including their Royal Foundation, which supports the welfare of service personnel and young people.
Prince William and Kate Middleton’s engagements include promoting sustainable conservation, young people’s mental health and supporting disadvantaged young people.
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