One of medicinal chemistry's top priorities is the discovery of new molecules with anticancer potential. Compounds that interact with DNA are an intriguing family of chemotherapeutic medications used to treat cancer. Studies in this area have uncovered a plethora of potential anticancer medicines, such as groove binding, alkylating, and intercalator compounds. The anticancer activity of DNA intercalators (molecules that intercalate between DNA base pairs) has drawn special interest. The current study investigated the promising anticancer drug 1,3,5-Tris(4-carboxyphenyl)benzene (H3BTB) against breast and cervical cancer cell lines. In addition, 1,3,5-Tris(4-carboxyphenyl)benzene binds to DNA by groove binding. The binding of H3BTB to DNA was found to be significant which unwinds the DNA helix. Considerable electrostatic and non-electrostatic contributions were present in the binding's free energy. The cytotoxic potential of H3BTB is effectively demonstrated by the computational study outcomes, which include molecular docking and molecular dynamics (MD) simulations. The minor groove binding for the H3BTB-DNA complex is supported by molecular docking research. This study will promote empirical investigation into the synthesis of metallic and non-metallic H3BTB derivatives and their potential use as bioactive molecules for the treatment of cancer.