We have developed a model to calculate the dose to the cell nucleus in cells exposed in suspension to radon and/or radon progeny. The model addresses the influence of (1) different radiation qualities and energies in the irradiation milieu; (2) the contribution to dose from radioactivity in the medium surrounding the cell after exposure to the radon gas as well as that from excess radon progeny associated with the cell; (3) the geometry of the cell and of the radiosensitive target, the cell nucleus; (4) the intracellular localization of the radionuclides; (5) attenuation of the alpha particles by the cytoplasm; (6) the radionuclide concentrations in the medium; and (7) the length of exposure. Investigation of the influence of these various parameters was made using an irradiation system in which cells were exposed to 212Bi, which decays to stability with the emission of an alpha particle (either 6.05 or 8.78 MeV). The information from these studies was then used to develop the system further for more complex systems in which 222Rn and its progeny are present. The model takes into account the contribution of dose from different radiation sources using scintillation counts of the medium and the cells, and it is useful for calculations of dose in situations where cells are exposed in suspension culture.