  We consider a toric degeneration $\mathcal{X}$ of Calabi--Yau complete
intersections of Batyrev--Borisov in the Gross--Siebert program. For the toric
degeneration $\mathcal{X}$, we study the real Monge--Amp\`{e}re equation
corresponding to the non-archimedean Monge--Amp\`{e}re equation that yields the
non-archimedean Calabi--Yau metric. Our main theorem describes the real
Monge--Amp\`{e}re equation in terms of tropical geometry and proves the metric
SYZ conjecture for the toric degeneration $\mathcal{X}$ supposing the existence
of its solution.
