We successfully synthesized a novel high-silica zeolite CDS-1 by topotactic conversion from a new three-dimensional layered silicate PLS-1. The crystal structure of PLS-1 was determined from X-ray powder diffraction data. The framework of PLS-1 all composed of five membered-rings is consistent with a part of a ferrierite framework. We estimated that new microporous materials can be formed by a topotactic condensation between the layers of the PLS-1 with a layer structure consisting of face sharing of pentagonal cylinders. Then, available microporous structures were simulated by a molecular dynamics calculation. Experimentally, CDS-1 could be obtained by complete block dehydration-condensation. The structure of CDS-1 was determined by Rietveld refinements based on simulated models. The novel high-silica zeolite CDS-1, which has a novel topology including two-dimensional straight channels, is briefly described.