In a report, the agency said the money had been paid to a total of 362 people for health problems caused by weapons testing in Algeria and French Polynesia.
In 2019, 96 other people in French Polynesia requested compensation, bringing the total to nearly 1,600.
Last year, CIVEN accepted 62 claims for compensation lodged in French Polynesia while over the period 2010-2017, only 11 were accepted.
France said its tests were clean and caused no damage until 2010, when a compensation law was passed.
However, after a high rejection rate, the compensation criteria were relaxed in 2017 but tightened again in a reform approved last month.
France tested its atomic weapons in French Polynesia from 1966 to 1996.