Due to the attractive performances such as the ability of beam focus, broadband, multi-beam scanning and other features, Luneburg lens antennas are applied in multi-beam antenna, which overcomes the problem of gain loss produced by multi-beam parabolic antenna. Based on 3-D printing technique, Luneburg lens antennas by drilling holes are studied. Permittivity and loss tangent of the equivalent lens materials can be influenced by original materials, hole shapes, hole directions, and porosity. After tests, polystyrene with waxes may be the most appropriate materials for Luneburg lens with high strength. Permittivity with the shape of triangle is the lowest due to the homogeneity. Relative permittivities with the direction at a range of 15°-45° are lower while loss tangent at a range of 0°-30°. Radial directional holes are more appropriate for Luneburg lens. The relative permittivity is decreased with the increment of porosity. After calculations, the forecasts calculated by Looyenga and A-BG theory are more precise. Finally, Luneburg lens with two layers is fabricated by 3-D printing.