  A $k$-regular partition into distinct parts is a partition into distinct
parts with no part divisible by $k$. In this paper, we provide a general method
to establish the unimodality of $k$-regular partition into distinct parts where
the largest part is at most $km+k-1$. Let $d_{k,m}(n)$ denote the number of
$k$-regular partition of $n$ into distinct parts where the largest part is at
most $km+k-1$. In line with this method, we show that $d_{4,m}(n)\geq
d_{4,m}(n-1)$ for $m\geq 0$, $1\leq n\leq 3(m+1)^2$ and $n\neq 4$ and
$d_{8,m}(n)\geq d_{8,m}(n-1)$ for $m\geq 2$ and $1\leq n\leq 14(m+1)^2$. When
$5\leq k\leq 10$ and $k\neq 8$, we show that $d_{k,m}(n)\geq d_{k,m}(n-1)$ for
$m\geq 0$ and $1\leq n\leq \left\lfloor\frac{k(k-1)(m+1)^2}{4}\right\rfloor$.
