A functional central limit theorem is obtained for a stationary linear process of the form $X_{t}=;{Sigma_{j=0}}^{infty}a_{j}{epsilon}_{t-j}, where {${in}_{t}$｝is a strictly stationary associated sequence of random variables with $E_{{in}_t}{;}={;}0.{;}E({in}_t^2){;}<{;}{infty}{;}and{;}{a_j}$ is a sequence of real numbers with (equation omitted). A central limit theorem for a stationary linear process generated by stationary associated processes is also discussed.