Microresonator-based optical frequency combs have attracted extensive interest due to their compactness, flexibility, low power consumption, and compatibility with complementary metal-oxide-semiconductor integration. When modulation instability dominates in nonlinear microresonators, a particular field of dissipative Turing patterns is demonstrated. Turing patterns exhibit wider frequency comb intervals than a soliton field in the spectral domain. Owing to their robustness against perturbations and optimal spectral purity, Turing patterns provide a creative platform for high-capacity communication, on-chip optical squeezing, and other applications.At present, the effect of high order dispersion on Turing patterns is generally ignored. However, this effect is particularly important for microresonators with a large amount of high order dispersion. Therefore, the influence of high order dispersion on Turing patterns is investigated in this study. The step-Fourier is used to solve the theoretical model of Lugiato-Lefever Equation, the evolutions of the field inside the microresonators are investigated, and the influences of higher order dispersion on Turing ring optical field are also analyzed. The theoretical analysis and numerical calculation prove that the third-order dispersion coefficient β₃ causes a time shift in Turing patterns at a uniform speed. The fifth-order dispersion coefficient β₅, which is smaller than the third-order dispersion coefficient β₃, has a weak effect on the time shift of the field, the time shift speed is relatively low. Moreover, high odd order dispersion also affects the direction and speed of the time shift. In the third-order dispersion example, the positive and negative values correspond to the opposite directions of time shift. The larger the third-order dispersion is, the faster the time shift is. On the other hand, high even order dispersion is added into the theoretical simulation, which indicates no change in the number or position of the pulses. Therefore, the high even order dispersion does not affect the stable distribution. As a result, the drift velocity and direction of Turing patterns can be controlled by changing the magnitude of high odd dispersion. In addition, the dispersive wave of Turing patterns with high order dispersion, which represents the spectral properties of the optical field, is investigated. When the initial field in microresonators is a Gaussian pulse, frequency detuning plays a major role, and four pulses are generated in the microresonators. The field of multiple pulses experiences a time shift because of the third-order dispersion. Moreover, high order dispersion affects the spectrum, the comb spectrum is obviously modulated. The position relationship of spectrum and dispersive wave curves indicates that the zero points of the dispersive wave curves correspond to the mode number of spectral sub-peaks. When frequency detuning is further aggravated and high order dispersion remains constant, the multi-pulse field evolves into another kind of Turing patterns that contains numerous equally spaced pulses. And the third-order dispersion can cause the time shift of the Turing patterns or multiple pulses, and the zero frequency position of the dispersive wave curves with third-order dispersion relates to the sub-peak in the spectrum. This condition means that the strongest new exciting modes with third-order dispersion have a dispersion frequency of 0. An increase in β₃ results in the augmentation of the slope of the dispersive wave curves, which means that a strong high order dispersion leads to a strong dispersive wave for high order modes of Turing patterns. However, it has almost no effect on the low order modes, the dispersive wave is nearly close to zero. Hence, high order dispersion strengthens the dispersive wave for high order modes of Turing patterns. The results of the theoretical analysis are crucial for studying Turing patterns in microresonators, whose material has a large high order dispersion.