The Array for Microwave Background Anisotropy (AMiBA) is a forefront instrument for research in cosmology. This project is led, designed, constructed, and operated by the Academic Sinica Institute of Astronomy and Astrophysics (ASIAA), with major collaborations with National Taiwan University, Physics Department (NTUP), Electrical Engineering Department (NTUEE), and the Australian Telescope National Facility (ATNF). Contributions also came from the Carnegie Mellon University (CMU), and the National Radio Astronomy Observatory (NRAO). Capital and operational funding for AMiBA came from the Ministry of Education and the National Science Council as part of the Cosmology and Particle Astrophysics (CosPA) initiative. Matching operational funding also came in the form of an Academia Sinica Key Project. As a dual-channel 85-105 GHz interferometer array of up to 19 elements, AMiBA is designed to have full polarization capabilities, sampling structures greater than 2 arc minutes in size. The AMiBA targets specifically the distribution of high red-shift clusters of galaxies via the Sunyaev-Zel'dovich Effect (SZE), as a means to probe the primordial and early structure of the universe. AMiBA will also measure the polarization properties of the Cosmic Microwave Background (CMB), which is sensitive to the ionization history of the universe and can be a potential probe for gravity waves. AMiBA is sited on Mauna Loa in Hawaii, at an elevation of 3,300m to take advantage of higher atmospheric transparency and minimum radio frequency interference. We project a sensitivity of ~2 mJy with the 1.2m elements in 1 hour. This will allow us to detect and map 20-50 clusters of galaxies every year. The project involves extensive international and domestic scientific and technical collaborations. Currently, the AMiBA is deploying the initial 7-element interferometer in Hawaii. An expansion to the 13-element configuration is underway, to be followed possibly by an expansion to 19-elements.