We discuss several schemes and methods, providing the possibility to extend the method of dynamic holographic correction of distortions by means of optically addressed liquid crystal spatial light modulators (OA LC SLMs) to IR spectral range. These are first of all the schemes with TV (computer) relay of interferogram to modulator and double-wavelength dynamic holography schemes. We consider also the performance of first OA LC SLMs, specially developed for correction in 2.5-4 μm spectral range, providing diffraction efficiency of ∼10% in traditional scheme and about 75% in the case of grating with asymmetric profile.