We study the peculiarities of the Burstein–Moss shift employing two-band model with an anisotropic valence band. There is a long wave tail which has a convex or concave shape depending on the ratio between the longitudinal and transverse hole masses. The width of this anisotropy-induced tail is temperature-independent and increases with increasing electron concentration and difference between the hole masses. This width also does not depend upon the value of the energy gap. Having experimentally evaluated the tail width and the position of the break in the optical absorption curve, one can deduce the values of the reduced hole masses.