Dedicated to the systematic presentation of the results of axiomatic direction in quantum field theory . Part I contains the necessary information from functional analysis and the theory of generalized functions, as well as elements of the theory of functions of several complex variables. Central place (parts II-IV) is occupied by different approaches in axiomatic quantum field theory - algebraic approach, formalisms of Whiteman and Lehmann-Simanzik-Zimmerman, S-matrix method. Here are the fundamental results of quantum field theory - GSR theorem, spin-statistics relationship, Haag theorem, Goldstone theorem, etc. Included sections on theories with indefinite metric. The general theory is illustrated by explicitly solved two-dimensional models. Part V contains the application of the developed apparatus to the analytical properties of scattering amplitudes and to the theory of interaction of elementary particles at high energies. Numerous exercises form an integral part of the text. For researchers, graduate students and students specializing in quantum field theory and mathematical physics.