Regression Wavelet Analysis (RWA) is one of the current state-of-the-art lossless compression techniques for remote sensing data. This paper presents the first regressionbased near-lossless compression method. It is built upon RWA, a quantizer, and a feedback loop to compensate the quantization error. Our near-lossless RWA (NLRWA) proposal can be followed by any entropy coding technique. Here, NLRWA is coupled with a bitplane-based coder that supports progressive decoding. This successfully enables gradual quality refinement and lossless and near-lossless recovery. A smart strategy for selecting the NLRWA quantization steps is also included. Experimental results show that the proposed scheme outperforms state-of-the-art lossless and near-lossless compression methods in terms of compression ratios and quality retrieval.Index Terms-lossless and near-lossless compression, pyramidal multiresolution scheme, regression wavelet analysis, remote sensing data compression.