The resonant interaction between the energetic particle triggered fishbone mode and the shear Alfven waves is, for the first time, computationally observed and firmly demonstrated based on a tokamak plasma equilibrium, using the self-consistent MHD-kinetic hybrid code MARS-K [Y. Q. Liu et al., Phys. Plasmas 15, 112503 (2008)]. This type of continuum resonance, occurring critically due to the modes toroidal rotation in the plasma frame, significantly modifies the eigenmode structure of the fishbone instability, by introducing two large peaks of the perturbed parallel current density near but offside the q=1 rational surface (q is the safety factor). The self-consistently computed radial plasma displacement substantially differs from that being assumed in the conventional fishbone theory.