The accident occurred on Thursday as 55 people were working at a laboratory in Tokaimura, 120 kilometres northeast of Tokyo, the Japan Atomic Energy Agency (JAEA) said.
The researchers were carrying out an experiment that involved firing a proton beam at gold when the accident happened, it said.
The agency, which had initially said six researchers were exposed to radiation, announced late yesterday that 24 more people were affected.
"None of them required medical attention," an JAEA spokesman said.
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The International Commission of Radiological Protection recommends a dosage limit of one millisievert per year, but says exposure to less than 100 millisieverts per year presents no statistically significant increase in cancer risk.
According to the agency, radiation was accidentally released during the experiment "due to overheating, which we suspect was caused by some technical problems".
Radiation then leaked from the facility to the outer atmosphere after workers used fans to lower levels of radioactivity in the laboratory, it said.
Nuclear safety is a particularly sensitive issue in Japan, which in 2011 experienced the world's worst atomic accident in 25 years when a tsunami took out a nuclear power plant in Fukushima.