Suicide is a significant issue worldwide and despite comprehensive prevention activities, suicide stigma remains. To explore this issue, we used critical discourse analysis to examine how Australian suicide prevention documents (n = 8) constructed people living with thoughts of suicide. We found that risk and biomedical discourses dominated, with people experiencing suicide ideation constructed as dangerous, different, lacking coping skills, and burdensome. We propose that future suicide prevention activities address potentially stigmatizing language, broaden support and advocacy options, and meaningfully include people with lived experience of suicidal ideation or behavior in the development of policy and interventions.