Abstarct: Studies on semiconductor nanostructures under quantizing magnetic fields and intense electromagnetic radiation have been very important in semiconductor device physics. In addition to the experimental studies, some properties of semiconductor nanostructures under quantizing magnetic fields and intense THz radiation have been investigated theoretically. Due to the rapid progress in experiments, the theoretical explanation of phenomena such as THz photon-electron coupling is essential. The most useful quantity normally used to understand the electronic properties of semiconductors, is the dielectric function. Here, we investigated a two- dimensional quantum well wire with the transvers hyperbolic space confinement under strong magnetic field and intense THz radiation. First, the induced charge- density oscillations were calculated using the time dependent perturbation theory. Then, the dielectric funtion was obtained and magneto- plasmon modes were calculated in the frxame work of random phase approximation. The resultant dielectric function shows that the plasma frequency of the system is strongly dependent on the intensity and frequency of the THz laser field.