  We calculate the axial form factor in the chiral quark soliton (semibosonized
Nambu - Jona-Lasinio) model using the semiclassical quantization scheme in the
next to leading order in angular velocity. The obtained axial form factor is in
a good absolute (without additional scaling) agreement with the experimental
data. Both the value at the origin and the $q$-dependence of the form factor as
well as the axial m.s.radius are fairly well reproduced.
