In order to solve the problem of the directivity design of transducer array under non-ideal conditions, the theoretical calculation model is established in this paper, and the influence of vibration velocity and phase of array elements with the Normal distribution and Poisson distribution on the three-dimensional directivity of transducer array are investigated. Through the simulation analysis, it is found that the influence of the inconsistency of the array element performance under non-ideal conditions on the directivity of transducer array is mainly reflected in the directional angle and the symmetric distribution of the three-dimensional directivity. The lower the frequency, the greater the influence is. The effects of the vibration velocity and phase of the array elements with different distribution laws on the directivity of transducer array are different, but in general, the greater the dispersion, the more significant the influence is. The method for evaluating and analyzing the directivity of the transducer array under non-ideal conditions presented in this paper can be applied to guide the directivity design of the transducer array and control the directivity parameters of the transducer array during the mass production, which has both theoretical guiding significance and practical engineering application value.