A model of percolation with disaggregation and aggregation (PDA) is proposed and studied by means of the Monte Carlo simulation on the square lattice. The critical concentration φc, the correlation length exponent and the fractal and spreading dimensions of the largest cluster at φc have been computed. The obtained results suggest that the PDA model belongs to the same universality class than the standard percolation model. Nevertheless, the critical concentration (φc=0.464±0.005) of the former is quite different from the critical probability (pc=0.5927) of the later model.