We propose a non-parametric texture modeling and synthesis technique based on the integer version of the Discrete Wavelet Transform (DWT). The successive levels of the DWT pyramid of the input texture are progressively sampled starting from the signal approximation to generate the analogous wavelet pyramid for the synthetic texture. An underlying statistical model is assumed, where the appearance of wavelet coefficients at each scale is conditioned by the appearance of the corresponding ancestors at coarser scales. A non-parametric Parzen estimator is used for sampling. The integer DWT is obtained by the lifting steps implementation. The proposed method provides results comparable to the other stateof-the-art techniques for random (unstructured) textures, but at a very low computational complexity. For structured textures, performance depends on the specific orientation features and structure size.