  Extending results of Rais-Tauvel, Macedo-Savage, and Arakawa-Premet, we prove
that under mild restrictions on the Lie algebra $\mathfrak q$ having the
polynomial ring of symmetric invariants, the m-th Takiff algebra of $\mathfrak
q$, $\mathfrak q\langle m\rangle$, also has a polynomial ring of symmetric
invariants.
