In the past, several approaches have been proposed to produce high quality solid textures. Unfortunately, they often suffer from several synthesis artifacts, such as color blurry, bad texture structures, introducing aberrant voxel colors and so on. In this paper, we present a novel algorithm for synthesizing high quality solid textures from 2D exemplars. We adopt an optimization framework with the k-coherence search and the discrete solver for solid texture synthesis. The texture optimization approach is integrated with a new kind of histogram matching, position histogram matching, which effectively causes the global statistics of the synthesized solid textures to match those of the exemplars. Experimental results show that our synthesized results do not suffer from color blurry, and most texture structures are preserved well, outperforming the previous solid texture synthesis algorithms in terms of the synthesis quality.