We have developed an analytic continuation method for extracting parameters of nucleon resonances within a Hamiltonian formulation of meson-nucleon reactions. The method was tested for simple solvable models and then applied for our recent coupled channels model (πN, ηN, π△, ρN, and σN ) of the πN and γ~*N reactions. The resonance pole positions and their properties are studied for P_(33) and P_(11) channels.