Background/Objectives: New mothers face significant challenges during the postpartum period, which can impact their maternal performance. This study aimed to assess the effect of tele-continuous midwifery care on maternal functioning and neonatal perception in first-time Iranian mothers. Methods: A randomized controlled field trial was conducted from January to May 2023 on 48 first-time mothers in the postpartum ward at Arash Women’s Hospital, Tehran. Participants were randomly assigned to either an intervention or control group. The intervention group received tele-continuous care for six weeks postpartum, while the control group received standard care. The Barkin Index of Maternal Functioning (BIMF) and the Neonatal Perception Inventory (NPI) were used to collect data in the second and sixth weeks after delivery. Data were analyzed using SPSS 26. Results: The mean age was 26.2 ± 4.8 years in the intervention group and 28.0 ± 6.1 years in the control group. An independent t-test revealed a significant difference in maternal functioning (BIMF score) between the intervention and control groups by the sixth week postpartum (p < 0.0001). A significant improvement in BIMF scores was observed within the intervention group from the second to the sixth week (p = 0.007). However, the Mann–Whitney test showed no significant difference in neonatal perception (NPI scores) within the intervention group (p = 0.219), while a significant difference was found in the control group (p = 0.007). Conclusions: Tele-continuous midwifery care effectively enhances maternal functioning during the vulnerable postpartum period, highlighting the necessity of ongoing support for new mothers.