  We investigate the vortex structure in chiral p-wave superconductors by the
Bogoliubov-de Gennes theory on a tight-binding model. We calculate the spatial
structure of the pair potential and electronic state around a vortex, including
the anisotropy of the Fermi surface and superconducting gap structure. The
differences of the vortex structure between $\sin p_x + {\rm i} \sin p_y$-wave
and $ \sin p_x - {\rm i} \sin p_y$-wave superconductors are clarified in the
vortex lattice state. We also discuss the winding $\mp 3$ case of the
$\sin{(p_x+p_y)} \pm {\rm i} \sin{(-p_x+p_y)}$-wave superconductivity.
