The issue of the identity of the Rohingya, who mainly live in western Rakhine State, is incendiary in Myanmar.
Several bouts of religious violence between Muslims and Buddhist ethnic Rakhines left scores dead and more than 140,000 in fetid displacement camps - mainly Rohingya.
Many Burmese insist the Rohingya are illegal migrants from Bangladesh and give them the derogative label "Bengali", even though many of the Muslim group can trace their ancestry back generations in the former junta-ruled nation.
"I encouraged the leaders of Myanmar to uphold human rights, take a strong stance against incitement and ensure humanitarian access to Rohingya living in vulnerable conditions," he told reporters in Naypyidaw.
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US President Barack Obama, who left Myanmar today after a two-night trip, pressed the case for minority rights, particularly of Muslims - although he demurred from using the term Rohingya in front of his hosts despite having used it liberally before entering the country.
"Using the term 'Rohingya' - which cannot be accepted or acknowledged by our people - is an insult to our sovereignty," Thein Nyunt, a lower house MP told AFP, who submitted an emergency proposal to both chambers of parliament rejecting Ban's speech.
"Stating the existence of an ethnic group which really doesn't exist is against Myanmar law," he said, adding it Ban's comments were likely to re-ignite violence in tinderbox Rakhine.
The motion - which is largely symbolic - was adopted unopposed by both houses.
Most Rohingya are denied citizenship by the Myanmar government, which does not include the term in its list of official ethnic minorities.
"Any legitimate government has to be based on a recognition that people are equals under the law," he added.