A sensor-augmented pump (SAP) therapy is used to treat neonatal diabetes mellitus (NDM). We treated a case for which SAP therapy was successful and prevented hypoglycemia. The patient was a baby boy who was small for his gestational age. He had hyperglycemia at 4 days of age, and a diagnosis of NDM had previously been made at another hospital. A continuous intravenous insulin infusion was initiated. At 29 days of age, the patient was transferred to our hospital for further treatment. SAP therapy was initiated at 39 days, which was successful and prevented hypoglycemia. Gradually, blood glucose levels improved. The insulin infusion was stopped to determine if any potential pump issues arose prior to discharge; the patient’s blood glucose level did not increase. The decision was therefore made to discharge the patient from the hospital at 58 days of age with discontinued insulin. After discharge, genetic analysis showed hypomethylation on one of the alleles within 6q24, leading to a diagnosis of 6q24-related diabetes mellitus. Although almost all 6q24-related NDM cases are transient, no evidence exists for the appropriate timing of insulin discontinuation. Retrospective continuous glucose monitoring (CGM) analysis showed improved standard deviation (SD) values as well as improved blood glucose variability. This experience suggested SD values of CGM may be used as an index for tapering and discontinuing insulin in SAP therapy. However, future collaborative studies at other centers that focus on SD values as a guide for insulin discontinuation in SAP are required.