The use of the atomic bomb in Hiroshima and Nagasaki, was it justified?

It was obviously justified tactically, strategically, and morally.

This was total war and the enemy leadership was utterly unwilling to think of surrender before they received a game-changing wake-up call.

Which was delivered at the coast of a mere ~250K enemy killed. Vastly fewer than would have died in the follow-on invasion of the Japanese home islands. And with zero, repeat zero, American casualties. Versus the over 1M estimated for the planned invasion.

This is probably the cleanest example of a morally justified attack in wartime since the Roman days.