It has long been known that medicinal plants are vital to human health and have been used for therapeutic purposes since the beginning of civilization. The goal of this study is to evaluate the scientific data supporting the use of the herbal remedy Andrographis paniculata in the management of beta thalassemia. Phytocompounds, one of the bases of traditional use, were assessed both qualitatively and quantitatively in five different extracts with varying solvent properties (methanol, chloroform, hexane, ethyl acetate, and aqueous), providing the fundamental explanation for the therapeutic relevance of this plant. The presence of flavonoids, phenols, tannins, saponins, and alkaloids in plant extracts was assessed. It was shown that ethanol extract had the highest concentration of phytocompounds among the various extracts, while chloroform extract had the lowest concentration. The plant's antioxidant activity was also assessed, and the results showed that the methanolic extract has potential antioxidant activity, as shown by the DPPH's lowest half-inhibitory concentration (IC50) values. To further evaluate the phytocompounds for their in-silico study, molecular docking techniques were employed. These phytocompounds (DL-alphatocopherol, 3,19-O-diacetylanhdroandrographolide, and 14-acetylandrographolide) to the fetal haemoglobin target protein PDBID:4MQJ were also found to have interactions with significantly minimum binding energies of -12.52 kcal/mol, -11.22 kcal/mol, and -11.08 kcal/mol, where DL-alphatocopherol was found to have the highest binding affinity (-12.524 kcal/mol) and interaction with the active site HIS97. The SwissADME was used to assess the drug-likeness and ADMET characteristics of phytocompounds derived from Andrographis panicluata. Based on chemical characteristics, drug-likeness score, and ADMET model, the present study selected and screened the phytocompounds DL-alphatocopherol, 3,19-O-diacetylanhdroandrographolide, and 14-acetylandrographolide, which are expected to have better drug-like features with improved toxicity profiles. Therefore, it makes sense to send the compounds reported in this work to an in vivo analysis of therapeutic applicability due to their significant biological features.