Аннотация:The physical motivations and performance of the TAIGA (Tunka Advanced Instrument for cosmicray physics and Gamma Astronomy) project are presented. The TAIGA astrophysical complexaddresses ground-based gamma-ray astronomy at energies from a few TeV to several PeV andcosmic ray physics from 100 TeV to several EeV and astroparticle physics. The pilot TAIGA-1complex is located in the Tunka valley, ~50 km west of the southern tip of lake Baikal. It includesa timing Cherenkov TAIGA-HiSCORE array with 120 wide-angle optical stations distributed overan area of about 1 square kilometer and three 4-m class Imaging Atmospheric CherenkovTelescopes of the TAIGA-IACT array. The latter array has a shape of a triangle with side lengthsof about 300m, 400m and 500m. There are three approaches to selecting gamma quanta from thehadron background in the TAIGA experiment: (1) IACT operation in standalone mode; (2) Stereomode operation of two or more IACTs; (3) Hybrid mode operation -joint operation of TAIGAHiSCORE and IACTs. The main advantage of the hybrid operation of the IACTs and timing istheir good gamma/hadron separation, even with only a few telescopes on the large area. Presentstatus of the project, the first experimental results and plans for the future 10-20 km2 TAIGA arepresented.