Anomalous electron heat diffusion across high mode magnetic islands and the nonlocal high mode stochastic magnetic field are researched and compared with earlier low mode research work. The work in this paper uses two typical magnetic islands and a high mode stochastic magnetic field that are aroused by five incompact high mode perturbed magnetic islands. It is found that the mode number of the perturbed magnetic island is another key factor of anomalous electron heat diffusion across the minor radius in tokamak plasmas, besides the ratio of the parallel heat diffusion coefficient to the perpendicular coefficient and the width of diffusive layers.