The propagation of transverse impact energy in a multilayer packing (in an array) of parallel single-walled carbon nanotubes has been simulated. It has been shown that such nanotube arrays are effective shock absorbers. The depreciation effect is most pronounced for packings of nanotubes with a diameter of 2.7-3.9 nm. Here, part of the impact energy is absorbed due to the transfer of the packing to a higher energy stationary state, in which part of the nanotubes is in a collapsed state. The impact impulse reaches the other edge of the packing most weakened and distributed over time. For nanotubes with a smaller diameter, the compression of the array occurs elastically without energy accumulation, and for nanotubes with a larger diameter - with energy release.