We show the formulation of the absorbing boundary condition (ABC) and demonstrate its applicability to resonant phenomena induced by reactions of few-body cluster systems. The resonance parameter and the strength function, which are important quantities in astrophysics, are calculated by the ABC method, and the results are compared with the complex scaling method, which is another tool to handle the resonant phenomena. We will show the realistic applications of ABC to the 3/2 + resonance in 19 Ne and discuss the prescription of ABC in the three-body problem.