The output controllability condition of the class of time-invariant multivariable linear delay-differential systems is investigated by using an algebraic approach. The controllability condition is given in terms of the kernel of a map, which determines the behaviour of output after time t  =  0 due to input up to t =  0. This kernel is then completely characterized by a module generated by the columns of a matrix directly computable from the system transfer function. It is shown that every reachable output of the system considered can be controlled to zero in finite time.