  We give the sufficient condition on coefficients $a_k$ of an algebraic
polynomial $P(z)=\sum_{k=0}^{n}a_kz^k$, $a_n\not=0,$ for the pointwise
Bernstein inequality $|P'(z)|\le n|P(z)|$ to be true for all
$z\in\overline{\mathbb D}:=\{w\in\mathbb C : |w|\le 1\}$.
