Terahertz Time domain Spectroscopy (THz-TDS) measurements are performed on reverse micelles, prepared with the non-ionic surfactant Igepal CO-520, and the results are combined with previously performed measurements in the GHz range. With this technique the complex permittivity εˆ is measured and the orientation dynamics of water are studied for three systems: spherical micelles of neat water (water/Igepal/cyclohexane), spherical micelles with acid (1M HCl/Igepal/cyclohexane), and cylindrical micelles of neat water (water/Igepal/n-hexane). It is found that the static permittivity of water in micelles is lower than that of bulk water, but slightly higher than was calculated by using an effective medium approximation (EMA). The thickness of the layer of water molecules that is affected by the nano-confinement is approximately 5.3 ± 0.4 Å, which corresponds to two water molecules. These molecules on the surface of the micelle have a larger re-orientation time constant than bulk water, and the value of those constants is dependent on the size of the micelle. The dynamics of protons in micelles with acid differs from the dynamics of protons in bulk water. As a result of the nano-confinement, the protons give rise to a resonance, which is similar to a Debye relaxation process. This is in contrast to protons in bulk water, where the contribution to the permittivity is purely imaginary and inversely proportional to the frequency. For cylindrical micelles it is found that the ratio between surface water and bulk water changes. In cylindrical micelles there are relatively more surface water molecules than in spherical micelles. This is also expected when considering the geometrical surface to volume ratio of a cylinder and a sphere.