The present invention discloses a non invasive screening system for neonatal Hyperbilirubinemia based on transcutaneous bilirubin (TcB) comprising atleastone nail bed transilluminating light source for penetrating subcutaneous tissuefrom the nail bed of neonatal subject enabling spectral analysis of circulatingblood in underneath blood capillaries, a probe means cooperating with said nailbed for desired transilluminating by the selective light source held on the nail bed of the neonatal subject and reflected light collection fibre means operativelyconnected to spectrometric means for said spectral analysis. The spectrometricmeans enables identification of markers for bilirubin for desired screening theneonatal Hyperbilirubinemia in the neonatal subjects in complete range of upto20 mg/dL bilirubin content in the circulating blood through non-invasive screening.