The Large High Altitude Air Shower Observatory (LHAASO) is designed to search for cosmic-ray sources by the measurement of gamma rays up to 1 PeV, to survey the whole northern sky for gamma-ray sources above 300 GeV, and to study cosmic-ray physics from 10 TeV to a few hundreds of PeVs. The observatory will be located at high altitude (~4400m, probable site in Sichuan province, China) and will include different detectors with known techniques, each of them being optimized for one of these goals. The LHAASO observatory is complementary to existing detectors or projects in this field and can bring insight to several fundamental open questions in the understanding of high-energy cosmic objects and phenomena.