The small demonstration Friday in Yangon came as demands have grown louder among politicians and lawmakers for amending the constitution.
The charter was adopted under the stewardship of Myanmar's previous military government to ensure that the military retains a major voice in administering the country.
A provision of the constitution says anyone whose spouse or children owes allegiance to a foreign power cannot become president or vice president. Suu Kyi was married to the late British scholar Michael Aris, and her two sons are foreign citizens.