Several recent studies have suggested that people in socioeconomically disadvantaged circumstances may benefit more from local green space (‘equigenesis’). This study provides a test of this hypothesis in children aged 0–13 years old. Results from multilevel models suggest the odds of sub-optimal general health were 14% lower among children in areas containing >21.5% green space compared to those with <10%. Higher parent-reported quality green space was associated with 18% lower odds of sub-optimal child health. However, no effect modification of the association between child health and area disadvantage across strata of green space quantity or quality was observed.