A tone signal synthesizer for simulating musical tones of a brass instrument faithfully. A nonlinear portion and a pipe linear portion are combined to simulate a brass instrument. The nonlinear portion has a resonance circuit having a resonance frequency in the vicinity of the frequency of a musical tone on the basis of an upper model, and a resonance circuit having a low resonance frequency on the basis of an outer model. Not only oscillation in the frequency of the musical tone is made by the former, but the instability of a brass instrument upon starting of tone generation is simulated by the latter. Further, not only a random number generation circuit gives a random number component to a flow rate signal, but a function table and a multiplier make the level of the random number component proportional to the square root of the flow rate signal.