Residential schools were the institutions, in operation from the 19th century to the late 20th century, which Indigenous children in Canada were forced to attend. The literature shows that many young people who attended these institutions were victims of neglect and abuse. Negative psychological effects resulting from child abuse have been amply documented. However, very few studies on this subject have been carried out among Canada's Indigenous Peoples. The objective of this study is to evaluate, for an Indigenous population in Quebec (Canada), the impact of residential schooling as well as self-reported experiences of sexual and physical abuse during childhood on the development of alcohol and drug use problems in adulthood. A total of 358 Indigenous participants were interviewed (164 men [45.8%] and 194 women [54.2%]). Alcoholism was evaluated using the Michigan Alcoholism Screening Test (MAST). Drug abuse was assessed with the Drug Abuse Screening Test-20 (DAST). Child abuse and residential schooling were assessed with dichotomous questions (yes/no). Among the participants, 28.5% (n = 102) had attended residential schools, 35.2% (n = 121) reported having experienced sexual abuse, and 34.1% (n = 117) reported having experienced physical abuse before adulthood. Results of the exact logistic regression analyses indicated that residential school attendance was linked to alcohol problems, while child abuse was related to drug use problems. The results of this study highlight the importance of considering the consequences of historical traumas related to residential schools to better understand the current situation of Indigenous Peoples in Canada.