We present an approximation simulation study on the dynamics of a comb polymer chain, such as (A-BR), with and without excluded volume, where R is the side chain. The dynamics of comb polymer chains are studied by investigating the dynamics of the equifinal linear polymer chains, (A-B')x, with the probability of movement of B' bead p. It is found that relaxation times of the first three normal modes obey the relation T(k)(p)-(N - 1)1.96/k1.97p0.70 in the absence of excluded volume, and T(k)(p)-T(kl)p(-betak) (beta1 = 0.5, beta2 = 0.75, beta3 = 0.72) in the presence of excluded volume, where N = 2x and T(kl) is the relaxation time of the first three normal modes T(k) of linear polymer chains (k = 1, 2, and 3).