The basic idea of Transformation Optics is to mimic a curved space-time with a suitable optical medium, which therefore must have tailored electromagnetic properties. Photonic Metamaterials are the means to construct such media, since they allow for widely controlling their permittivity and permeability tensors and therefore provide the freedom to design nearly arbitrary anisotropic and inhomogeneous distributions of optical parameters. These subwavelength structures are described by effective medium theory and are able to manipulate the propagation of electromagnetic waves in the same manner as curved space-time. The goal of my Ph.D. project is the design and simulation as well as the fabrication and characterisation of such photonic metamaterials for Transformation Optics. Interesting applications are new optical elements as well as fascinating novel devices, such as invisibility cloaks.