The aim of this study was to assess the impact of parental body mass index (BMI) on the risk of having an overweight or obese child in Ukraine. This study included 22,576 parents (11,288 mothers and fathers) and the same number of children (boys 48%, girls 52%) aged 6.0–18.9 years who live in Ukraine. The study was conducted in randomly selected primary, secondary and high schools of Ukraine. Body weight and height was measured in triplicate. Based on the results obtained, BMI was calculated. The analysis was carried out based on z-score values of children and BMI classification of children. Odds ratios (OR) were calculated using logistic regression analysis. For fathers, 38.1% had normal BMI, 15.9% were obese, and 45.6% were overweight. For mothers, 52.1% of those surveyed had normal BMI, 31.8% were overweight and 13.5% were classified as obese. The vast majority (72.7%) of children had normal weight, 10.2% were overweight, and 15.0% were underweight. Children of overweight fathers had a higher risk of becoming overweight (OR = 1.41). Children of obese fathers had both a greater risk of being overweight (OR = 2.04) and obese (OR = 2.56). The odds ratios indicate that children of overweight mothers had a greater risk of being overweight (OR = 1.45) and obese (OR = 1.76). Children of obese mothers had both a greater risk of becoming overweight (OR = 2.05) and obese (OR = 2.70). More often, overweight and obese parents had children who also had higher BMI.