Trypanosoma cruzi is a protozoan of great medical interest since it is the causative agent of Chagas disease, an endemic condition in Latin America. This parasite undergoes epigenetic events, such as phosphorylation, methylation and acetylation, which play a role in several cellular processes including replication, transcription and gene expression. Histone deacetylases (HDAC) are involved in chromatin compaction and post-translational modifications of cytoplasmic proteins, such as tubulin. Tubastatin A (TST) is a specific HDAC6 inhibitor that affects cell growth and promotes structural modifications in cancer cells and parasites. In the present study, we demonstrated that T. cruzi epimastigote cell proliferation and viability are reduced after 72 h of TST treatment. The results obtained through different microscopy methodologies suggest that this inhibitor impairs the polymerization dynamics of cytoskeleton microtubules, generating protozoa displaying atypical morphology and cellular patterns that include polynucleated parasites. Furthermore, the microtubules of treated protozoa were more intensely acetylated, especially at the anterior portion of the cell body. A cell cycle analysis demonstrated an increase in the number of trypanosomatids in the G2/M phase. Together, our results suggest that TST should be explored as a tool to study trypanosomatid cell biology, including microtubule cytoskeleton dynamics, and as an antiparasitic drug.