Chagas disease has an ineffective drug treatment despite efforts made over the last four decades. The carbonic anhydrase of Trypanosoma cruzi (α-TcCA) has emerged as an interesting target for the design of new antiparasitic compounds due to its crucial role in parasite processes. The aim of this study was to identify potential α-TcCA inhibitors with trypanocide activity. A maximum common substructure (MCS) and molecular docking were used to carry out a ligand- and structure-based virtual screening of ZINC20 and MolPort databases. The compounds selected were evaluated in an in vitro model against the NINOA strain of Trypanosoma cruzi, and cytotoxicity was determined in a murine model of macrophage cells J774.2. Five sulfonamide derivatives (C7, C9, C14, C19, and C21) had the highest docking scores (-6.94 to -8.31 kcal/mol). They showed key residue interactions on the active site of the α-TcCA and good biopharmaceutical and pharmacokinetic properties. C7, C9, and C21 had half-maximal inhibitory concentration (IC50) values of 26, 61.6, and 49 μM, respectively, against NINOA strain epimastigotes of Trypanosoma cruzi. Compounds C7, C9, and C21 showed trypanocide activity; therefore, these results encourage the development of new trypanocidal agents based on their scaffold.