A series of novel cisplatin-type platinum complexes were designed, characteristic of epoxysuccinates as leaving groups. The pertinent compounds were prepared and characterized by IR, (1)H NMR, and ESI-MS spectra with elementary analyses. The in vitro cytotoxic activities of compounds toward SPC-A1 human lung adenocarcinoma cell line and BGC823 human stomach adenocarcinoma cell line were determined. Biological tests have confirmed that complexes containing 4R,5R-DMID [abbreviation of (4R,5R)-4,5-bis (aminomethyl)-2-isopropyl-1,3-dioxolane] as carrier ligands have greater cytotoxicity toward tumor cells than the corresponding compounds with other carrier ligands. Most platinum complexes with trans-epoxysuccinates usually have higher cytotoxicity than those with cis-epoxysuccinates. Complex 4a shows the most effective among those tested platinum complexes in both cell lines, and its cytotoxicity approached that of cisplatin.