We treat a two-by-two semiclassical system of one dimensional Schrödinger operators and study the resonances created by an energy-level crossing, where the two potentials intersect transversally. The system describes so-called predissociation in a molecular dynamics under the Born-Oppenheimer approximation. In this talk, we give the semiclassical distribution of the resonances near the energy crossing. This talk is based on the joint work with Setsuro Fujiié and André Martinez.