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In this paper we study Sigma invariants of even Artin groups of FC-type,extending some known results for right-angled Artin groups. In particular, wedefine a condition that we call the strong homological $n$-link condition for agraph $\Gamma$ and prove that it gives a sufficient condition for a character$\chi:A_\Gamma\to \mathbb{Z}$ to satisfy$[\chi]\in\Sigma^n(A_\Gamma,\mathbb{Z})$. This implies that the kernel$A^\chi_\Gamma=\ker \chi$ is of type $FP_n$. The homotopy counterpart is alsoproved. Partial results on the converse are discussed.  We also provide a general formula for the free part of$H_n(A^\chi_\Gamma;\mathbb{F})$ as an $\mathbb{F}[t^{\pm 1}]$-module with thenatural action induced by $\chi$. This gives a characterization of when$H_n(A^\chi_\Gamma;\mathbb{F})$ is a finite dimensional vector space over$\mathbb{F}$.  In the last version we correct a problem in the proof of Lemma 4.3 and also aremark at the end of subsection 3.3.

On the Sigma invariants of even Artin groups of FC-type