This is a review of holographic methods which enable one to regulate the sensitivity of interference measurements. Methods for increasing measurement sensitivity by using waves reconstructed from a hologram in higher diffraction orders and from a rerecording of a hologram, and also methods for regulating sensitivity that are based on recording holograms in two wavelengths, are considered. A review is given of methods for increasing sensitivity during the multiple passage of a beam through a volume being investigated or a hologram. Electronic phase measurement methods which enable one to increase the threshold of measurement sensitivity are considered. A review of the use of holographic interferometry with regulated measurement sensitivity for transparent media diagnostics is given.