  Let $b_\ell(n)$ be the number of $\ell$-regular partitions of $n$. Recently,
Hou et al established several infinite families of congruences for $b_\ell(n)$
modulo $m$, where $(\ell,m)=(3,3),(6,3),(5,5),(10,5)$ and $(7,7)$. In this
paper, by the vanishing property given by Hou et al, we show an infinite family
of congruence for $b_{11}(n)$ modulo $11$. Moreover, for $\ell= 3, 13$ and
$25$, we obtain three infinite families of congruences for $b_{\ell}(n)$ modulo
$3, 5$ and $13$ by the theory of Hecke eigenforms.
