Annona muricata (a.k.a. Soursop or Graviola) is fruit plant native to warm and humid regions in Africa and Asia. A. muricata is rich of carbohydrates, vitamins, antioxidants, and important minerals such as ZX. This study aimed at evaluation of aqueous and alcoholic extracts of the peels and pulp of A. muricata for their antibacterial activities against Escherichia coli and Staphylococcus aureus using the standard well diffusion assay. The results of aqueous extract of the peels, revealed 16 mm inhibition zone for E. coli and S. aureus. The inhibition zone of aqueous extract of the core part was 18.2 mm for E. coli and 17 mm for S. aureus. The alcoholic extract of peels showed 16 mm of inhibition zone of S. aureus compared to 17 mm E. coli. Moreover, the alcoholic extract of the fruit pulp revealed 19.2 mm inhibition growth zone of E. coli and 17.5 mm against of S. aureus. In conclusion, the aqueous and alcoholic extract of peel and pulp contain inhibitory activity compounds against different clinical bacterial species and the inhibitory effect of the alcoholic extract was more evident than that of the aqueous extract due to the solubility of many active compounds in the alcohol.