  Let $\mathbf{G}$ be a quasi-split reductive group and $\mathbb{K}$ be a
Henselian field equipped with a valuation
$\omega:\mathbb{K}^{\times}\rightarrow \Lambda$, where $\Lambda$ is a non-zero
totally ordered abelian group. In 1972, Bruhat and Tits constructed a building
on which the group $\mathbf{G}(\mathbb{K})$ acts provided that $\Lambda$ is a
subgroup of $\mathbb{R}$. In this paper, we deal with the general case where
there are no assumptions on $\Lambda$ and we construct a set on which
$\mathbf{G}(\mathbb{K})$ acts. We then prove that it is a $\Lambda$-building,
in the sense of Bennett.
