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The generalization of 4D confining string theory to the SU(3)-inspired caseis derived. It describes string representation of the Wilson loop in theSU(3)-analogue of compact QED extended by the $\theta$-term. It is shown thatalthough the obtained theory of confining strings differs from that of compactQED, their low-energy limits have the same functional form. This fact leads tothe appearance of the string $\theta$-term in the low-energy limit of theSU(3)-inspired confining string theory. In particular, it is shown that in theextreme strong coupling regime, the crumpling of string world sheets coulddisappear owing to the string $\theta$-term at $\theta=\pi/12$. Finally, somecharacteristic features of the SU(N)-case are pointed out.Comment: 8 pages, LaTeX2e, no figures, to appear in Europhys. Letter

Confining strings in the Abelian-projected SU (3)-gluodynamics II. 4D case with θ-term