In this study, a new method is proposed to solve the axisymmetric consolidation problem of transversely isotropic saturated soils. At first, based on the governing equations of axisymmetric Biot's consolidation, the transformed governing equations in the Hankel domain are derived via integral transform technology. Then, by introducing boundary conditions, and the transformed equations are solved with the TDQM, and the consolidation solution in the actual domain is obtained via numerical inversion. Several examples are provided to verify the proposed solution and discuss the convergence of the method. Furthermore, the effects of key parameters such as the anisotropy of the stiffness and permeability on the consolidation of the skeleton are studied. Compared with the traditional differential quadrature method (DQM), the transformed differential quadrature method (TDQM) simplifies the solution process and diminishes the quantity of algebraic equations by employing the integral transform technique. This adaptation avoids the exponential escalation of the equation count encountered when solving multidimensional problems and extends DQM's applicability to the infinite domain.