  The generalization of 4D confining string theory to the SU(3)-inspired case
is derived. It describes string representation of the Wilson loop in the
SU(3)-analogue of compact QED extended by the $\theta$-term. It is shown that
although the obtained theory of confining strings differs from that of compact
QED, their low-energy limits have the same functional form. This fact leads to
the appearance of the string $\theta$-term in the low-energy limit of the
SU(3)-inspired confining string theory. In particular, it is shown that in the
extreme strong coupling regime, the crumpling of string world sheets could
disappear owing to the string $\theta$-term at $\theta=\pi/12$. Finally, some
characteristic features of the SU(N)-case are pointed out.
