Finite-size scaling calculations are performed for the critical dynamics of the ferromagnetic Ising model on fractal lattices. We confirm the predictions of Henley's heuristic theory of singular dynamic scaling and compare our results with those recently obtained by Kutasov et al. using Monte Carlo methods. It is found that fractal lattices which have odd coordination have an exponentially large number of metastable states but that these states do not necessarily play a significant role in the critical dynamics.