Scientific objectives, foundations, status, and outlook of the INCA Project are presented. Fundamentally new technique based on the ionization-neutron calorimeter (INCA) and designed to study local nearby sources of high-energy cosmic rays by direct measuring the spectrum and composition of the nuclear component in the ''knee'' region and the spectrum of primary electrons in the energy range 0.1-10 TeV with the proton-background suppression factor up to 10 7 is discussed. Experimental data on exposition of the INCA prototypes to electron, pion, and proton beams at various energies and corresponding simulation results are presented. Prospects are considered.