This descriptive, correlational, and cross-sectional study included mothers (n = 170) and fathers (n = 173) with 6- to 12-month-old babies. A personal information form, the Multidimensional Scale of Perceived Social Support (MSPSS), the Revised Dyadic Adjustment Scale (RDAS), the Maternal Attachment Inventory (MAI), and the Postnatal Paternal–Infant Attachment Questionnaire (PPAQ) were used to gather information. Mothers’ median scores were 64 (27–84) for MSPSS, 57 (21–69) for RDAS, and 102 (92–104) for MAI. Fathers’ median scores were 53 (24–84) for MSPSS, 57 (40–69) for RDAS, and 84 (57–94) for PPAQ. In mothers, a significant, moderate, positive correlation was found between the median scores of MSPSS and RDAS (r =.521; p <.001) and MAI (r =.362; p <.001). This relationship was also the same for the RDAS and MAI median scores (r =.299; p <.001). For fathers, a significant, low-level, positive correlation was found between median scores of MSPSS and RDAS (r =.53; p =.044) and PPAQ (r =.164; p =.031). A significant, moderate, positive correlation was also found between RDAS and PPAQ median scores (r =.468; p <.001). This study found that baby attachment increases with increasing social support for mothers and fathers and dyadic adjustment. In postnatal follow-ups, women's health nurses and midwives should assess the social support, dyadic adjustment, and attachment levels of mothers and fathers.