A Monte Carlo simulation of tritium decays in a cell composed of two parts, a nucleus and surrounding cytoplasm, was developed to evaluate the beta-radiation dose to the nucleus. A dose modifying factor (DMF), which is a ratio of the average nuclear dose to the whole-tissue dose, after skin-contact exposure of rats to tritiated pump oil or tritiated formaldehyde was estimated. Biokinetic data characterizing the retention of tritium in liver were available in the form of tritium-specific activities and biological half-times for tritiated water and five macromolecular species (DNA, RNA, acid-soluble fraction, acid-insoluble protein, and lipids). The spatial distribution of tissue-free water and macromolecular species in the nucleus and cytoplasm of rat liver cells was based on published data. In the case of exposure to tritiated pump oil, tritium incorporated into lipids provides the largest percentage (60%) of the absorbed dose to the nucleus. For the tritiated-formaldehyde exposure, the tritium dose to the nucleus is overwhelmingly contributed by tritiated water (58%) and in acid-insoluble proteins (40%). For both these tritiated organic exposures, the tritium-labeled DNA has a negligible effect on the DMF. The DMF for the tritiated pump oil and formaldehyde exposures was estimated as 0.81 and 1.05, respectively: the DMF of both exposures was close to unity. Given the other uncertainties in tritium dosimetry, our results suggest that for these skin-contact exposures a uniform distribution of tritium in tissue is an adequate assumption for dosimetry.