Moses
Deuteronomy 31:9BSB·traditional attribution

So Moses wrote down this law and gave it to the priests, the sons of Levi, who carried the ark of the covenant of the LORD, and to all the elders of Israel.

John Calvin Reformed @genevareformer

9. And Moses wrote this law. It is unquestionable that Moses deposited the Book of the Law in the custody of the Levites, to enjoin upon them the duty of teaching; for although it is only related that they were commanded to recite the book before the people every seventh year, yet it is easy to gather that they were appointed the constant proclaimers of its doctrine.

Matthew Henry Presbyterian @wholebiblehenry

The law was given by Moses; so it is said, Joh 1:17. He was not only entrusted to deliver it to that generation, but to transmit it to the generations to come; and here it appears that he was faithful to that trust. I. Moses wrote this law, Deu 31:9.

Commenting on Deuteronomy 31:9-13

John Gill Reformed Baptist @doctorgill

And Moses commanded them,.... The priests and the elders, to whom the law was delivered: saying; as follows: at the end of every seven years; every seventh year was a year of rest to the land, and of remission of debts to poor debtors: at the close of this year or going out of it, according to the Misnah (t), even on the eighth year...