Four explosions erupted in the state's capital Sittwe at 05:47 a.m. local time (23:17 GMT on Friday), Xinhua Asia&Pacific reported.
The blasts took place near a court, a residential compound of secretary of township administration department, district land records department, as well as on Strand road, according to the agency.
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Other three undetonated bombs were also found in the area.
The explosions took place after a blast on Wednesday that killed two people and injured 11 others in Myanmar's northern Shan state.