People experience a strong conflict while condemning someone who brought about an accidental harm, her innocent intention exonerating her, but the harmful outcome incriminating her. In the present research (total N = 4879), we explore how reasoning ability and cognitive style relate to how people choose to resolve this conflict and judge the accidental harms. A first set of studies (1a-c) showed that individual differences in cognitive style predicted severity of judgments in fictitious accidental harms scenarios, with more able (or willing) reasoners being less harsh in their judgments. A second set of studies (2a-c) relied on experimental manipulations of cognitive load (Dot matrix, Time pressure, Mortality Salience manipulations), aiming to tax available cognitive resources to participants while evaluating third-party harmful behaviors. These manipulations, however, failed to modulate people’s moral judgments for accidental harms. We discuss the importance of individual differences in reasoning ability in the assessment of accidental harms, and we also propose potential explanations for the failure of our experimental manipulations to affect severity of moral condemnation.