Obama yesterday called the pair to offer his congratulations, as military hardliners try to limit Suu Kyi's formal role.
Banned from becoming president by a junta-era constitution, Suu Kyi has cemented conftrol over the country's first civilian-led government in decades by taking on a string of senior roles in the new administration.
She has vowed to rule "above" the president, picking school friend and close aide Htin Kyaw for the role.
According to the White House "the president commended Daw Aung San Suu Kyi's determined efforts, over the course of many years and at great personal cost, to achieve a peaceful transfer of power and advance national reconciliation.