The three-dimensional understanding of dense line sets requires the use of more sophisticated lighting models. Ambient occlusion is a technique used to simulate realistically and efficiently, the indirect ambient lighting. This paper presents a new algorithm for rendering lines with ambient occlusion. The proposed algorithm is based on the voxelization of the scene and on the computation of occlusionin the hemisphere associated to each visible point. It is proposed an adaptation of the voxelization algorithm of 3D scenes made up of solids to the correct treatment of the scene formed by lines. Thus, a volumetric geometry description is created in a texture buffer. The hemisphere around every visible point is sampled by several points, and for each sample is generated a prism, which occluded volume is calculated from the voxelization. By accumulating the results of each sample, the estimated ambient occlusion caused by the geometry at each point visible to the observer is computed. This strategy proved to be appropriate, resulting in high-quality images in real time for complex scenes.