The cold rolled commercial Ti-based alloy Ti₂AlNb sheets of 1 mm in thickness were prepared via multiple folding and rolling, and then subjected to solid solution treatment at 960 ^oC, followed by three type aging treatments in two-phase (B2 + α₂) region: 750 ^oC/4 h, 800 ^oC/4 h and 850 ^oC/4 h respectively. Then the effect of heat treatments on their microstructure, texture, and tensile properties was investigated, in terms of verifying the effect of reducing the anisotropy of alloy sheets and revealing the related formation mechanism of the layered texture structure parallel to the sheet surface within the sheet section. The results show that the microstructure of the sheet consists of B2-matrix, O-phase of various morphologies, and a small amount of equiaxed α₂-phase. The {001}<110> rotated cube texture and the {111}<uvw> texture of the B2-phase are alternately distributed along the thickness direction; the α₂-phase exhibits a typical T-type texture; influenced by orientation relationship inheritance, the orientation distribution of the O-phase is characterized by [100]//ND and [001]//TD. This layered structure originates from the inhomogeneous accumulation of shear strain in the surface region and compressive strain in the center during multi-pass rolling. At room temperatures, the solution-treated sheet exhibits pronounced tensile anisotropy, with the transverse direction (TD) tensile strength being significantly higher than that along the rolling direction (RD). The primary reason is that, under loading along TD, the T-type texture of the α₂-phase renders the prismatic <a> slip systems more difficult to activate, and the elongated lath structure along the rolling direction imposes a stronger geometrical barrier to dislocation motion in the TD. Aging heat treatment not only induces the precipitation of finely dispersed secondary acicular O-phase, thereby improving the microstructural homogeneity, but also weakens the direction dependence of prismatic <a> slip by strengthening the R-type texture of the α₂-phase. The synergistic effect of these two mechanisms significantly reduces the tensile anisotropy of the sheet.