Abstract: The production of an intense sound field with nondistortion （or low distortion） is an interesting problem in nonlinear acoustics. In this article, nonlinear interaction process between three sound waves with frequencies f₁,f₂ and f₃ respectively has been discussed. Let f₁ is frequency of the finite amplitude wave and f₂=2f₁,f₃=3f₁. On the basis of Penlon's theory concerning the propagation of multiple frequency finite amplitude wave the authors have pointed out that by controlling the original phases and amplitudes of the two waves with frequencies f₂ and f₃ respectively, it is possible to cancel out the second and third harmonics of the finite amplitude wave at some receiving points, which shows that the progressive nonlinear distortion is obviously reduced.