  The purpose of the present paper is to investigate the decay of Bernstein
numbers of the embedding from $B^t_{p_1,q}((0,1)^d)$ into the space
$L_{p_2}((0,1)^d) $. The asymptotic behaviour of Bernstein numbers of the
identity $id: S_{p_1,p_1}^tB((0,1)^d)\rightarrow L_{p_2}((0,1)^d)$ will be also
considered.
