The attenuation of seismic wave energy is caused by intrinsic absorption and scattering. The former involves the conversion of seismic wave energy to heat energy via internal friction due to the anelasticity of the medium, whereas the latter involves the scattering of seismic wave energy due to random elastic heterogeneities in the medium. Quantifying both intrinsic (
Qi−1) and scattering (
Qs−1) attenuation is therefore important for understanding the physical properties of the Earth's interior and predicting seismic wave propagation. Here we develop a new procedure to separately map three‐dimensional (3‐D)
Qi−1 and
Qs−1 structures. The path‐averaged
Qi−1 and
Qs−1 values are obtained via an envelope‐fitting approach that employs a multiple‐scattering model. The path‐averaged
Qi−1 and
Qs−1 structures are then mapped into 3‐D space using a tomographic inversion technique based on sensitivity kernels, which are calculated from a Monte Carlo simulation of the radiative transfer equations. We apply this method to map the crustal structure beneath Kyushu, Japan, and obtain 3‐D
Qi−1 and
Qs−1 structures for the 1–2, 2–4, and 4–8 Hz frequency bands. The spatial attenuation patterns are similar for each of the analyzed frequency bands, with the spatial variability in
Qs−1 being more pronounced than that in
Qi−1. The high‐
Qi−1 and
Qs−1 regions correspond to the locations of active volcanoes. Conversely, the northern Kyushu area possesses low‐
Qi−1 and
Qs−1 zones that correspond to low heat flow and Cretaceous granite, respectively. The overall
Qi−1 and
Qs−1 distributions correlate with thermal and geological structures, respectively.