Aiming at the comparability problem of different geometric features in the existing panel data grey incidence model, and the problem that the incidence order is affected by the order of objects, a grey vector modulus incidence model based on panel data is constructed. Firstly, the panel data is characterized in the form of vectors, and then two geometric feature vectors of absolute change and relative change in multi-dimension of the index are defined, and the corresponding dimensionless processing of each geometric feature is carried out based on the feature vector. Then, the time dimension grey vector modulus incidence degree is obtained by considering the modulus of the horizontal development absolute quantity and the relative quantity. The object dimension grey vector modulus incidence degree is obtained by considering the modulus of the vertical oscillation absolute quantity and the relative quantity. The grey vector modulus incidence degree of the panel data is obtained by two dimensions. The properties of the grey vector norm incidence model of panel data are discussed. Finally, the proposed model is used to study the air pollution problem in Jiangsu Province.