Negative maternal mental health during pregnancy increases the risk of psychiatric problems in children, but research on the potential benefits of positive maternal mental health during pregnancy is scarce. We investigated associations between positive maternal mental health composite score, based on reports of maternal positive affect, curiosity, and social support during pregnancy, and children’s psychiatric problems (Child Behavior Checklist) at ages 1.9−5.9 and 7.1−12.1 years among 2636 mother–child dyads of the Prediction and Prevention of Preeclampsia and Intrauterine Growth Restriction study. For each standard deviation higher positive maternal mental health score during pregnancy, total psychiatric problems were 1.37 (95% confidence interval (CI) −1.79,−0.95) t-scores lower in early childhood and 1.75 (95% CI −2.24,−1.26) t-scores lower in late childhood. These associations were independent of covariates and of negative maternal mental health. Total psychiatric problems remained stably lower from early childhood to late childhood in children of mothers with higher positive mental health during pregnancy, whereas they increased in children of mothers with lower positive mental health. Positive maternal mental health in child’s late childhood partially mediated the effects of positive maternal mental health during pregnancy on children’s psychiatric problems. Supporting positive maternal mental health may benefit mothers and children.