The Weibel instability is one of the basic beam-plasma electromagnetic instabilities which plays an important role in the energy traveling mechanism of relativistic electrons generated by the laser-plasma interaction in the Inertial Confinement Fusion Plasma. In this paper, the Weibel instability is investigated in strongly coupled quantum plasmas, considering the Kappa distribution function for beam-plasma particles. An analytical expression is derived for the Weibel instability growth rate as the quantum and temperature anisotropy parameters for different values of the spectral index, k, under the low-frequency wave condition. The obtained results show that in the limit of low-frequency wave, the growth rate of instability decreases by increasing quantum parameter, and increases by increasing the values of special index and the temperature anisotropy parameter.
