Early nurturing relationships are crucial for adaptive child development. The objectives of the study were to investigate whether the availability of natural environments was associated with nurturing parenting practices, mother-infant bonding, and infant socioemotional function at one year of age. Data were from the Australian Temperament Project (n = 809 infants to 515 parents residing in Victoria, Australia) and were linked cross-sectionally to residential greenness (i.e., Normalized Difference in Vegetation Index). There were no observable associations between residential greenness within a 1600m network radius and parenting practices (using items from the parenting scales from the Longitudinal Study of Australian Children), mother-infant bonding (Maternal Postnatal Attachment Scale (MPAS)), or infant socioemotional function (Brief Infant Toddler Social Emotional Assessment (BITSEA)). The findings were largely corroborated by sensitivity analyses (i.e., NDVI within 100m, 250m, 500m, and 1000m and distance to park). Shorter distances to a park were associated with less hostile parenting. More residential greenness (1000m and 1600m) was associated with stronger father-infant bonding (Paternal Postnatal Attachment Scale (PPAS)) and more hostile parenting amongst the most stressed parents in exploratory analyses. Residential greenness might be a socioecological precursor for father-infant bonding.