In this talk, I will present a development of a gamma-ray vortex using an inverse Compton scattering (ICS). 
The vortex beam forms a helical wavefront along the direction of propagation and carries discrete values m hbar
 of orbital angular momentum (OAM) per photon. Fundamental and applied research on optical vortices using visible 
wavelength lasers is ongoing. However, vortex beams are not limited to visible light but include the sub-MeV 
electron vortex, ~ 10 keV X-ray vortex, terahertz wave vortex, and cold neutron vortex. ICS of a laser photon 
by a relativistic electron is one of the promising technique to generate the gamma-ray vortex in the MeV and GeV
range. Gamma-ray vortex providing an additional degree of freedom will open new research opportunities to the 
nuclear physics. Characteristics of the gamma-ray vortices generated via two different ICS methods and basic 
experiments of the optical vortex laser generated by a holographic grating will be presented.