Nurturing relationships are crucial for adaptive child development. The objectives of the study were to investigate whether nature availability was associated with early nurturing parenting practices, mother-infant bonding, and infant socioemotional function. 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 1,600 m network radius and parenting practices, mother-infant bonding, or infant socioemotional function. The findings were largely corroborated by sensitivity analyses (i.e., NDVI within 100, 250, 500, and 1,000 m and distance to park). Shorter distances to a park were associated with less hostile parenting. More residential greenness (1,000 and 1,600 m) was associated with stronger father-infant bonding and more hostile parenting amongst the most stressed parents in exploratory analyses. Residential greenness might be a socioecological precursor for father-infant bonding.