Last year, Myanmar's military launched a violent crackdown after Rohingya militants attacked police posts.
Since then thousands of people have been killed and over 700,000 Rohingya refugees have fled the country.
Mr Dorsey said he was "aware of the human rights atrocities" in Myanmar, also known as Burma.
But he added that the trip had been "purely personal" and had focused only on his meditation practice.
Mr Dorsey said he had been asked by Twitter users to explain what the social media company was doing about the crisis in Myanmar.
He tweeted Twitter was a way for people to "bear witness to the plight of the Rohingya and other peoples and communities".
"We're actively working to address emerging issues," he said.
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