The concept of controllability is introduced and investigated for the class of AR delay-differential systems with separable AR descriptions. For this class of it is shown that a system SIGMA described by the AR equation R(sigma1, sigma2)w=o (with or, the differentiation- and sigma2 the delay-operator) is controllable if and only if rank R(lambda, e(-lambda)) is constant for all lambda is-an-element-of C.