Seeds of Fl progeny of a cross between a slow-germinating (UCT5) and a fast-germinating tomato line (PI120256) were evaluated for ger mination under non-stress (control), cold-stress and salt-stress conditions, and in each treatment the most rapidly (first 5%) germinating seeds were selected, grown to maturity and self-pollinated to produce F-3 progeny. The selected F-3 progeny from each experiment were evaluated for germination in each of the three treatments, and compared with germination rate of unselected F-3 progeny. Selection for rapid seed germination was effective under cold stress and salt stress, but not effective under non-stress conditions: Furthermore, selection in either cold-stress or salt-stress treatment significantly improved progeny germination rate under both cold-stress and salt-stress treatments, as well as the non-stress treatment. The results support the suggestion that the same genes contribute to rapid seed germination under cold-, salt- and non-stress conditions. In practice therefore, selection for rapid seed germination under a single-stress environment may result in progeny with improved seed germination under a wide range of environmental conditions. Furthermore, to improve germination rate under non-stress conditions, it may be more effective to make selections under a stress treatment.