Recent studies do not agree on the possible relationships between medical conditions and traffic safety; most of them do not control for exposure factors. In this study, we estimate the effect of different medical conditions on truck drivers' distributions of accidents. Our data and our models permit the simultaneous control for: age; medical conditions; exposure factors measured by hours, kilometers and qualitative factors; and other characteristics of the truck drivers. Our results show that truck drivers of a given driving class with diabetes have more accidents than the drivers in good health. No other studied medical condition has a significant effect on individual accident distributions. Many risk exposure variables are also significant. The effect of age is discussed in detail.