The move comes as the fifth-year player was arrested on Wednesday afternoon by Phoenix police on allegations of aggravated assault for two separate incidents.
It has also been reported that the Cardinals are to assess Dwyer's mental health, with NFL Media insider Ian Rapoport taking to Twitter to reveal the news:
#Cardinals place RB Jonathan Dwyer on reserve/Non-Football Injury list. Evaluating his mental health after suicide mentions in police report— Ian Rapoport (@RapSheet) September 18, 2014
In response to the move, the team have re-signed Jalen Parmele to their active roster.