Let $\Sigma$ be a complete fan, $X_{\Sigma}$ the corresponding toric variety, and $L$ a toric line bundle on $X_{\Sigma}$. Let $s$ be a toric section of $L$ and $\Psi$ the virtual support function on $\Sigma$ associated to $(L,s)$ by theorems 4.22 and 4.18. The metric on $L^{{\text{\rm an}}}$ associated to the function $\Psi$ by Proposition 5.16 only depends on the structure of toric line bundle of $L$. This metric is called the canonical metric of $L^{{\text{\rm an}}}$ and is denoted $\|\cdot\|_{{\operatorname{can}}}$. We write ${\overline{L}}^{{\operatorname{can}}}=(L,\|\cdot\|_{{\operatorname{can}}})$.