Abstract： In this article, we discuss two important problems about possible superconductivity in organic molecules. One problem concerns the instability of an one-dimensional metal (Peierls distortion). The other is associated with screening of the Coulomb interaction between electrons in organic molecules. First, using Bloch function to describe electronic states, we have shown that some screening of the Coulomb field in organic molecules must occur. The square of screening length is inversely proportional to the density of states at the Fermi level. Next, we have found that for polyacenacene the regular structure is stable with respect to the Peierls distortion, and that bond alternation does not happen. Moreover, polyacenacene has large density of states at the Fermi level, which makes the effective interaction attractive, and the presence of polarizable substituents superconductivity will be possible if other requirements are met.