Abstract: The Irving–Kirkwood stress tensor has been calculated in a spherical slit inside an amorphous solid, with the slit simulating an adsorbate-containing spherical pore in an adsorbent. Both normal and tangential components of the stress tensor have been calculated. Although their local variations are similar, the normal component is about two times higher than the tangential one. At a preset slit width, the stress tensor components take different values on the surfaces bounding the slit, and the absolute values of the components on a nanoparticle surface are higher than those on a macrophase surface. The contribution of an empty cavity to the stresses of a spherical film has been estimated to be insignificant. The disjoining pressure of the spherical slit has been calculated and compared with that in a plane-parallel slit. The average difference between the two functions is approximately 20%. It is seen that the slit curvature leads to an increase in the absolute value of the disjoining pressure along the entire slit.