This study investigated the impact of some socioeconomic, demographic and health and community factors on chronic malnutrition or stunting in Bangladeshi children aged less than 5 years. The analysis revealed that the overall prevalence of stunting was 44%, of which 18% of children were severely stunted, and the demographic characteristics appeared to be the most significant factors for chronic malnutrition. Multinomial logistic regression analysis showed that parents’ education, household economic status, media exposure, number of under-5 children, place of delivery, child’s age, birth order, months of breast-feeding, birth size, mother’s BMI, mother’s height, age of household head, measles vaccine, supplementation of diet with liquids and regional differentials were significantly associated with severe as well as moderate stunting.