This is the dataset used to make main figures of Atmospheric circulation sensitivity to changes in the vertical structure of polar warming (2021), GRL (in preparation). Please refer to the method section. 1. The name of GRAM experiments, bot, mid1, mid2, and mid3 indicate L990, L850, L700, and L550 forcing respectively. Depending on the forcing amplitude, it varies 1X to 5.5X. The control run for GRAM is ctl_GRAM.nc. 2. There are additional data for L990 and L650 for AM2 experiments. The control run for AM2 is ctl_AM2.nc. 3. kernel_GRAM.mat = the radiative Kerel which is the OLR response to incremental increases in temperature of 1 K at each vertical level and the surface, based on GRaM (Lowest level is the surface kernel). Arctic domain averaged monthly temperature kernel data for figure 2d : 1. ERA-Interim (Huang et al. 2017); the original data can be obtained from https://huanggroup.wordpress.com/research/. 2. GFDL-AM2 Aquaplanet (Feldl et al. 2017); the original data can be obtained from https://climate.rsmas.miami.edu/data/radiative-kernels.