The present invention discloses a non invasive screening system for neonatal Hyperbilirubinemia based on transcutaneous bilirubin (TcB) comprising atleast one nail bed transilluminating light source for penetrating subcutaneous tissue from the nail bed of neonatal subject enabling spectral analysis of circulating blood in underneath blood capillaries, a probe means cooperating with said nail bed for desired transilluminating by the selective light source held on the nail bed of the neonatal subject and reflected light collection fibre means operatively connected to spectrometric means for said spectral analysis. The spectrometric means enables identification of markers for bilirubin for desired screening the neonatal Hyperbilirubinemia in the neonatal subjects in complete range of upto 20 mg/dL bilirubin content in the circulating blood through non-invasive screening.