Based on the theory of spatial impulse response of steadystate ultrasound pressure field distribution, an expression of the Fourier transform of the impulse response for a circular piston at any space point was analyzed, which was applicable to any position of the acoustic field. The axial and radial distribution of the acoustic pressure was simulated with Matlab, and also a circular transducer impulse response of the acoustic pressure distribution experiment system was designed to validate, the experimental results and simulation results showed a good consistency. The experimental results proved that the simulation results could accurately express the acoustic radiation pressure distribution of a circular transducer. This approach could be calculated quickly, and it was of great significance to optimize the transducer design and improve the resolution and reliability of ultrasonic testing.