Polymer chains dissolved in a solvent take random conformations due to large internal degrees of freedom and are characterized geometrically by their average shape and size. The diffusive dynamics of such large macromolecules play an indispensable role in a plethora of engineering applications. The influence of the size of the polymer chain on its diffusion is well studied, whereas the same cannot be said for the shape of the polymer chain. In the present work, the influence of the shape on the diffusion dynamics of the star-shaped chains in solution is investigated using multi-particle collision dynamics. Star-shaped chains of varying degrees of functionality are modeled in a good solvent at infinite dilution. The radius of gyration (R g ) of the starshaped chains follows a functionality-independent scaling law with the molecular weight (N), R g ∼ N ν , where ν ∼ 0.627. The shape of the polymer chains is calibrated by relative shape anisotropy (κ 2 ). We obtain nearly constant translational diffusion coefficients for the star polymers having the same hydrodynamic radius (R h ), calculated using the Zimm theory. The rotational diffusion coefficient (D R ) of the star polymer is found to be inversely proportional to its relative shape anisotropy at a constant hydrodynamic radius, i.e., D R ∝ 1/κ 2 .