Purpose: Few studies examined variables that might explain the link between perceived COVID-19 stress and suicidal ideation. The present study tested a multiple-sequence mediation model with family cohesion, thwarted belongingness, and perceived burdensomeness as mediators. Methods: The current study surveyed 1098 college students in China using questionnaires concerning perceived COVID-19 stress, family cohesion, unmet interpersonal needs, and suicide ideation. Results: Perceived COVID-19 stress was significantly associated with family cohesion, thwarted belongingness, perceived burdensomeness, and suicidal ideation. Family cohesion, thwarted belongingness, and perceived burdensomeness mediated the relationship between perceived COVID-19 stress and suicidal ideation separately. These factors also had multiple sequence-mediated effects between perceived COVID-19 stress and suicidal ideation. Conclusion: The study revealed pathways from perceived COVID-19 stress to suicidal ideation and suggested that interventions to increase family cohesion and reduce one’s unmet interpersonal needs were beneficial in decreasing individuals’ suicidal ideation.