To study the relationship between tire ground characteristic parameters and vibration noise, a radial truck tire (295/80R22.5) is selected as the research object, and a finite element model is established. The test results of the tire stiffness, vibration modal, and surface velocity response are used to verify the model. In order to find the influence of the inherent vibration characteristics of a tire on radiated noise, the contour design and belt design are selected as design schemes, and a modal analysis and vibration noise numerical simulation analysis are carried out for different tire structures. The footprints of the tire-ground are refined and divided. All the grounding parameters of each subarea are extracted, and the relationships between the geometric and mechanical parameters of the tire ground characteristics and vibration noise are investigated. Then, the effects of the skewness and stiffness of tread deformation, as well as the spectral density of tire–road excitation force power on vibration noise, are analysed. The results showed that a positive correlation exists between the vibration noise and the skewness of the tread radial deformation; however, a negative correlation is observed between the vibration noise and radial deformation stiffness. The peak values and numbers of the tire excitation force power spectral density using the minimum noise structure design are significantly smaller than those of the original tire. This study can serve as a theoretical guideline for the structural design of low-noise tires.