We show that the Fr��licher spectral sequence of a complex parallelizable solvmanifold is degenerate at $E_{2}$-term. For a semi-direct product $G=\C^{n}\ltimes_��N$ of Lie-groups with lattice $��=��^{\prime}\ltimes ��^{\prime\prime}$ such that $N$ is a nilpotent Lie-group with a left-invariant complex structure and $��$ is a semi-simple action, we also show that, if the Fr��licher spectral sequence of the nilmanifold $N/��^{\prime\prime}$ is degenerate at $E_{r}$-term for $r\ge 2$, then the Fr��licher spectral sequence of the solvmanifold $G/��$ is also degenerate at $E_{r}$-term.

To appear in J. Geom. Anal