  The detailed analysis of nonperturbative contributions to the electromagnetic
quark form factor is performed within the framework of the instanton liquid
model (ILM) of the QCD vacuum. The method of the path-ordered Wilson
exponentials is applied to evaluate explicitly the instanton corrections. By
using the Gaussian interpolation of the constrained instanton solution, it is
shown that the instantons yield the logarithmic corrections to the amplitudes
in high energy limit which are exponentiated in small instanton density
parameter.
