Compounds derived from natural sources continue to serve as chemical scaffolds for designing prophylactic/therapeutic options for human healthcare. In this study, we aimed to systematically unravel the chemical profile and antioxidant and anti-inflammatory activities of myrtle methanolic extract (MMEx) using in vitro, in vivo, and in silico approaches. High levels of TPC (415.85 ± 15.52 mg GAE/g) and TFC (285.80 ± 1.64 mg QE/g) were observed. Mass spectrophotometry (GC-MS) analysis revealed the presence of 1,8-cineole (33.80%), α-pinene (10.06%), linalool (4.83%), p-dimethylaminobenzophenone (4.21%), thunbergol (4%), terpineol (3.60%), cis-geranyl acetate (3.25%), and totarol (3.30%) as major compounds. MMEx induced pronounced dose-dependent inhibition in all assays, and the best antioxidant activity was found with H2O2, with an IC50 of 17.81 ± 3.67 µg.mL−1. MMEx showed a good anti-inflammatory effect in vivo by limiting the development of carrageenan-induced paw edema. The pharmacokinetic profiles of the active molecules were determined using the SwissADME website, followed by virtual screening against anti-inflammatory targets including phospholipase A2 (PLA-2), cyclooxygenase-2 (COX-2), tumor necrosis factor alpha (TNF-α), interleukin-1β (IL-1β), and NF-κB. A pharmacokinetic study revealed that the molecules have good absorption, distribution, and metabolism profiles, with negative organ toxicity. Among the compounds identified by GC-MS analysis, pinostrobin chalcone, cinnamyl cinnamate, hedycaryol, totarol, and p-dimethylaminobenzophenone were observed to have good binding scores, thus appreciable anti-inflammatory potential. Our study reveals that MMEx from Algerian Myrtus communis L. can be considered to be a promising candidate for alleviating many health complaints associated with oxidative stress and inflammation.