Miller now takes questions from the BBC's Tom Bateman who asks, given recent events - more than 1,000 people killed and more than one million displaced, according to Lebanese officials - did Israel ignore the US's calls for restraint?
Miller replies by saying that the killing of Hezbollah chief Hassan Nasrallah was "ultimately something that's good for the country" and the US certainly doesn't want to see any civilians harmed.
He repeats his earlier comments that military pressure can "enable diplomacy" but it can also lead to "unintended consequences" and "miscalculations", he says.
We're going to continue to engage with Israel to try to de-escalate tensions, he says, but adds that Israel is a sovereign country "that is going to make these decisions for itself".