The Radiation Effects Research Foundation has been evaluating the risk of atomic bomb radiation for various diseases since the beginning of its former organization, the Atomic Bomb Casualty Commission. Cohorts of atomic-bomb survivors, in-utero survivors, and survivors' offspring have been followed up. The risk of all solid cancers at 1 Gy was estimated as ERR = 0.47 and EAR = 52/10,000 person-years for people who were exposed at 30 years of age and had reached 70 years of age, based on the cancer incidence during 1958-1998. The risk seemed to be increased in the in-utero survivors, but was rather lower than the risk for the survivors exposed at a young age. Effects on the offspring of survivors have not been shown to be significant. Continuing the research is important in order to more accurately estimate and understand radiation-induced health effects.