Vortical motion in the deconfined QCD matter is expected to play a major role in the hadrons polarization in relativistic heavy-ion collisions. The present study focuses on the polarization of \(\Lambda \) and \(\bar{\Lambda }\) hyperons due to thermal vorticity. We develop a second-order viscous hydrodynamics framework coupled with thermal vorticity. Under the vortical QGP evolution framework, we explore the transverse momentum ( \(p_{\text {T}}\) ) dependence \(\Lambda \) -hyperon polarization at freeze-out hypersurface.