Introduction: Cerebral palsy is a group of early childhood chronic mobility disorders. Parenting a child with cerebral palsy is often challenging, especially for mothers. This research aimed to identify the determinants of the psychological states of mothers of children with cerebral palsy in Bangladesh. Methods: A cross-sectional study was conducted from December 2019 to February 2020. A total of 344 mothers of children with cerebral palsy was recruited using a simple random sampling technique and guided questionnaires. The data were analysed using the Chi-square test and logistic regression models. Results: The overall response rate was 98.29%. The median (IQR) age of respondents and the children with cerebral palsy were 30 (13) and 6 (6), respectively. The proportions of mothers with good knowledge on cerebral palsy and having higher negative family impact were 57.8% and 41.9%, respectively. Fifty-nine per cent of mothers of children with cerebral palsy had higher levels of maternal psychological stress. The predictors of maternal psychological stress were the mother’s age, marital status, types of family, family income, age of children, gender, and higher levels of the negative maternal appraisal. Conclusions: Mothers of children with cerebral palsy in Bangladesh had a higher level of maternal psychological stress. The factors identified in this study could help to develop policies and strategies to minimise maternal psychological stress associated with parenting children with cerebral palsy in Bangladeshi households.