Introduction: Neonatal hypoglycemia is a common metabolic problem which often goes unnoticed due to lack of specific symptoms. It is a common abnormality in low birth weight neonates. It is associated with neurological damage and death when it occurs in the first few days of life. Objective: To assess the demographic characteristics of low birth weight Newborn Admitted in Rajshahi Medical College Hospital, Rajshahi, Bangladesh. Methods: This descriptive, cross sectional hospital based study was aimed to describe the prevalence of hypoglycemia in low birth weight newborn admitted in Rajshahi medical college hospital in 1st 72 hours of life. A total of 264 neonates were enrolled in the study during the period of July 2015 to June 2017. Written informed consent was obtained. Clinical assessment and 72 hours blood glucose were recorded. Serial determination of blood glucose were recorded using glucometer at 1,2,6,12, 18, 24, 36, 48, 60 and 72 hours of age. Any abnormal result was immediately confirmed by the laboratory. Results: In our study we found 9.5% (n=25) Low Birth Weight newborn had hypoglycemia. The occurrence of hypoglycemia was within 1st 0-24 hours in 60% cases (n=15), >24-48 hours in 32% cases (n=8) and >48-72 hours in 8% cases (n=2). In this study male female ratio was 1.1:1. Mean±SD birth weight was 1681.82±301.69 grams and mean gestational age was 31.70±3.60 weeks. In this study majority of mother were <20 years of age and primiparous. Mean±SD maternal age was 19.86±5.960 years and mean± SD maternal weight was 48.23±3.592 kg. There was no significant relationship between increased incidence of hypoglycemia and sex, birth weight, gestational age of the baby and maternal age, maternal weight and parity of the mother. Conclusion: So low birth weight newborn should be kept under close observation and periodic monitoring of blood glucose should be done to avoid risk of hypoglycemia.