  The regular Hayward model describes a non-singular black hole space-time. By
analyzing the behaviors of effective potential and solving the equation of
orbital motion, we investigate the time-like and null geodesics in the regular
Hayward black hole space-time. Through detailed analyses of corresponding
effective potentials for massive particles and photons, all possible orbits are
numerically simulated. The results show that there may exist four orbital types
in the time-like geodesics structure: planetary orbits, circular orbits, escape
orbits and absorbing orbits. In addition, when $\ell$, a convenient encoding of
the central energy density $3/8\pi\ell^{2}$, is $0.6M$, and $b$ is $3.9512M$ as
a specific value of angular momentum, escape orbits exist only under
$b>3.9512M$. The precession direction is also associated with values of $b$.
With $b=3.70M$ the bound orbits shift clockwise but counter-clockwise with
$b=5.00M$ in the regular Hayward black hole space-time. We also find that the
structure of null geodesics is simpler than that of time-like geodesics. There
only exist three kinds of orbits (unstable circle orbits, escape orbits and
absorbing orbits).
