We investigated the stability of magnetized relativistic jets through3D relativistic MHD simulations. First we investigated the stability of magne- tized spine-sheath relativistic jets against Kelvin-Helmholtz (KH) We found that destructive KH modes can be stabilized even when the jet Lorentz factor significantly exceeds the Alfven Lorentz factor. Second we studied the development of current-driven (CD) kink instability of a static force-free helical magnetic field configuration. We found that the initial configuration is strongly distorted but riot disrupted by CD kink instability. The linear growth and non-linear evolution of the CD kink instability depends on the radial density profile and strongly depends on the magnetic pitch profile.
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