  It is well known that the electrically charged Reissner-Nordstr\"{o}m black
hole could be overcharged. Here, we investigate the process of overcharging of
a magnetized Reissner-Nordstr\"{o}m black hole that includes effect of the
magnetic field generated by own magnetic charge of source on the background
geometry. It is found that magnetic field prevents a transition to occur from
black hole to naked singularity, thus overcharging cannot be attained which
happens due to the fact that the magnetic field reaches its threshold value. It
turns out that beyond threshold value the magnetic field can exert large
Lorentz force on particles and dominate over the gravitational force, allowing
charged particles not to fall into the black hole. One may conclude, there
occurs no evidence for violation of cosmic censorship conjecture for a
magnetized Reissner-Nordstr\"{o}m black hole beyond threshold value of the
magnetic field.
