Two Schiff bases 2-amino-N'-(5‑bromo-2-hydroxybenzylidene)-3-(4-hydroxyphenyl)propanehydrazide (H2L1) and 2-amino-N'-(5‑chloro-2-hydroxybenzylidene)-3-(4-hydroxyphenyl)propanehydrazide (H2L2) and their six diorganotin(IV) complexes (R = C4H9 (1, 4), CH3 (2, 5), and C8H17 (3, 6)) have been synthesized. Schiff bases (H2L1–2) and their R2SnL1–2 complexes (1–6) have been characterized by CHNS analysis, IR spectroscopy, 1H, 13C, 119Sn NMR, and ES-MS. Schiff bases (H2L1–2) act as a dianionic tridentate ligand coordinated to Sn through phenolic and enolic oxygen and azomethine nitrogen in R2SnL1–2 complexes (1–6). A density functional theory (DFT)-based quantum chemical calculation validated the structures of R2SnL1 (1–3) and R2SnL2 (4–6) at the B3LYP/6‐311G(df,pd)/Def2‐SVP(Sn) and B3LYP/6‐31G(d,p)/Def2‐SVP(Sn) levels of theory, respectively. At these levels of theories, comprehensive electronic structure calculations determined atomic charges at selected atoms. Additionally, a molecular electrostatic potential (MEP) map identified electrostatic potential-varying sites on the molecule's surface, and MEP maps used to identify regions where other molecules might interact or react with the molecules on them. Furthermore, a conceptual-DFT-based global reactivity descriptor determined the stability and reactivity behaviour of R2SnL1–2 complexes (1–6). H2L1–2 and R2SnL1–2 complexes (1–6) have binding constants in the range ∼105 M-1 with CT-DNA, as revealed by UV–visible and fluorescence spectral titrations. UV-visible, fluorescence spectroscopy, and CD studies suggested that H2L1–2 and their R2SnL1–2 complexes (1–6) interact with CT-DNA electrostatically or groove-bound. DNA cleavage studies reveal that H2L1–2 and their R2SnL1–2 complexes (1–6) have ability to cleave the plasmid-DNA from its supercoiled form (SC, I) to nicked form (NC, II). However, n-Bu2SnL2 (4) and n-Oct2SnL2 complex (6) have higher cleavage activity than Schiff bases and other R2SnL1–2 complexes (1–6).