Let {${xi}_k,;k;{in};{mathbb{Z}}$} be a strictly stationary associated sequence of H-valued random variables with $E{xi}_k;=;0$ and $E{parallel}{xi}_k{parallel}^2;<;{infty}$ and {$a_k,;k;{in};{mathbb{Z}}$} a sequence of linear operators such that ${sum}_{j=-{infty}}^{infty};{parallel}a_j{parallel}_{L(H)};<;{infty}$. For a linear process $X_k;=;{sum}_{j=-{infty}}^{infty};a_j{xi}_{k-j}$ we derive that {$X_k} fulfills the functional central limit theorem.