Eviction may be an important channel for the intergenerational transmission of poverty, and concerns about its effects on children are often raised as a rationale for tenant protection policies. We study how eviction impacts children's home environment, school engagement, educational achievement, and high school completion by assembling new data sets linking eviction court records in Chicago and New York to administrative public school records and restricted Census records. To disentangle the consequences of eviction from the effects of correlated sources of economic distress, we use a research design based on the random assignment of court cases to judges who vary in their leniency. We find that eviction increases children's residential mobility, homelessness, and likelihood of doubling up with grandparents or other adults. Eviction also disrupts school engagement, causing increased absences and school changes. While we find little impact on elementary and middle school test scores, eviction substantially reduces high school course credits. Lastly, we find that eviction reduces high school graduation and use a novel bounding method to show that this finding is not driven by differential attrition. The disruptive effects of eviction appear worse for older children and boys. Our evidence suggests that the impact of eviction on children runs through the disruption to the home environment or school engagement rather than deterioration in school or neighborhood quality, and may be moderated by access to family support networks. [Additional funding provided by the Kreisman Initiative on Housing Law and Policy, the Horowitz Foundation for Social Policy, and the Yale Tobin Center for Economic Policy.]