Mr Reed was accused of destroying a different Ten Commandments monument in Oklahoma three years ago, media reports say.
He was diagnosed with a schizo-affective disorder (a mental health condition) after that incident but was released from hospital in January 2015 as part of an agreement with the Oklahoma County district attorney's office in which he pledged to continue receiving treatment and therapy, Tulsa World reported at the time.
The initiative to build the statue was led by Arkansas Senator Jason Rapert, who sponsored a 2015 law to display it on state grounds.
Mr Rapert said it "honoured the historical moral foundation of the law".
But opponents including the American Civil Liberties Union said that its appearance amounted to "an unconstitutional endorsement of religion" - they threatened to take legal action to have it taken down.
The statue was financed by more than $26,000 in private donations, local media reported.
The very fears and guilts imposed by religious training are responsible for some of history's most brutal wars, crusades, pogroms, and persecutions, including five centuries of almost unimaginable terrorism under Europe's Inquisition and the unthinkably sadistic legal murder of nearly nine million women. History doesn't say much very good about God.