  Recently, Garunk\v{s}tis, Laurin\v{c}ikas, Matsumoto, J. & R. Steuding showed
an effective universality-type theorem for the Riemann zeta-function by using
an effective multi-dimensional denseness result of Voronin. We will generalize
Voronin's effective result and their theorem to the elements of the Selberg
class satisfying some conditions.
