The tensile and compressive flow properties, microstructure evolution and fracture behavior at room temperature were investigated in a Ti–6Al–4V alloy, caliber rolled at 750 °C. While pseudo-elastic behavior is exhibited in compression test, the same is not exhibited in the tension test. Pseudo-elasticity is ascribed to the formation of twins and martensite, which also cause a deep and elongated dimple fracture, unlike the conventional dimple fracture in tension. Electron back scatter diffraction studies reveal texture evolution in the compression test but not in the tension test. The tension-compression flow asymmetry and fracture behavior are thus attributed to the difference in microstructure and texture evolution in the two modes of deformation. © 2019 Elsevier B.V.