Actually Hermit, Moses had a "stay" in these passages from the Sin unto death. But it was reinstated to Moses later on, and he did die the sin unto death(Physical)
He physically died an early death because of his disobedience.
Deut 32~~50“Then die on the mountain where you ascend, and be gathered to your people, as Aaron your brother died on Mount Hor and was gathered to his people, 51because you broke faith with Me in the midst of the sons of Israel at the waters of Meribah-kadesh, in the wilderness of Zin, because you did not treat Me as holy in the midst of the sons of Israel. 52“For you shall see the land at a distance, but you shall not go there, into the land which I am giving the sons of Israel.”
Deut 34:7~~New American Standard Bible
Although Moses was one hundred and twenty years old when he died, his eye was not dim, nor his vigor abated.