With increasing demand on data storage and transmission compression has became an important issue in the holographic measurement community. In this work we propose a lossy compression approach designed for the offaxis image plane holograms: a popular type of holograms in digital holographic microscopy and its derivatives. The method utilizes the band-limitation of the signal and is an extension for any conventional image codec. Several codecs are investigated and reliable compression parameters that maintain the holographic measurement precision are presented.