The research is devoted to the construction of operators of relativistic interactions in the meson-nucleon systems in the clothed-particle representation. A new recursive method to satisfy the algebra of commutation relations between the generators of the Poincare group is offered. The operators of relativistic interactions in a model with pseudoscalar Yukawa-type coupling in the second and third order in the coupling constant are constructed. Vertex orrection in the third order in Yukawa model is calculated. Nonlocal interactions in Wentzel model in the second order in the coupling constant...