MIGA is an EquipEx project funded by the ANR (Investissements d’avenir). The MIGA project is the first large-scale laser-based atom interferometer ever built. This underground Matter-wave laser Interferometric Gravitation Antenna (MIGA) is currently being built in Rustrel, France, within the LSBB, an underground low-noise laboratory. Based on the use of cold atom gravitation sensors, MIGA will enable the detection of gravitational waves in the [0.1 − 10 Hz] frequency band, thus allowing to explore terrestrial gravity and gravitational fields of astrophysical sources. Composed of 3 light pulse atom interferometers using the resonant feld of a long ultra-stable optical cavity within a 300m long optical cavity. MIGA is the first large scale instruments based on quantum mechanics for the exploration of gravity, offering new applications in geoscience and fundamental physics.