Authorities in Yangon said there were several explosive devices uncovered this week across the former capital. An American woman was injured in bomb blast earlier this week.
The U.S. Embassy in Yangon said Thursday the acts of violence "have no place in civilized society."
Myanmar earned international praise for democratic reforms that started with general elections in 2010. Its national security situation remains fragile.
A police officer in northern Shan state told the Thai newspaper The Irrawaddy on condition of anonymity at least one person died in two bombings Thursday. The newspaper said the explosive devices discovered by security officials were considered crude.
The U.S. Embassy in Yangon issued a travel advisory Tuesday in response to the bombings.
Chinese President Xi Jinping met Wednesday in Beijing with Myanmar military chief Min Aung Hlaing. The Chinese president described Myanmar as "good neighbors," China's official Xinhua News Agency reports.
Both sides this week agreed to build on their long-standing strategic partnership. Xi said the Chinese government stands ready to help Myanmar restore peace to the northern states sharing a border with China.