The research proposes a novel filter algorithm for the unsupervised feature selection problems based on a space filling measure. A well-known criterion of space filling design, called the coverage measure, is adapted to dimensionality reduction problems. Originally, this measure was developed to judge the quality of a space filling design. In this work it is used to reduce the redundancy in data. The proposed algorithm is evaluated on simulated data with several scenarios of noise injection. Furthermore, a comparison with some benchmark methods of feature selection is performed on real UCI datasets.