The present investigation is aimed at studying axisymmetric wave motion in a homogeneous transversely isotropic micropolar cubic crystal plate subjected to stress-free conditions. The secular equations for symmetric and skew-symmetric modes of wave motion are derived. The amplitudes of displacement components and microrotation are also computed and presented graphically during the symmetric and skew-symmetric motion of the plate. Finally, in order to illustrate and verify the analytical developments, numerical solution of the secular equation corresponding to stress-free micropolar cubic crystal plate is carried out for magnesium crystal material and represented graphically. The results of phase velocity, displacements, and microrotation have been compared for micropolar cubic crystal plate (MCP) and micropolar elastic plate (MEP) and illustrated graphically.