Cleveland will receive a sixth-round pick in exchange for Taylor, per the Akron Beacon-Journal's Nate Ulrich.
Taylor, who joined the Miami Dolphins in 2013 as a second-round pick out of Boise State, spent the past two seasons in Cleveland.
During that stretch, Taylor tallied three interceptions and 23 pass breakups across 31 appearances, including 29 starts. In 2017, Taylor led all Browns cornerbacks by playing 90.36 percent of the team's total defensive snaps.
Now he'll head to the desert with a chance to lock down a starting spot opposite Patrick Peterson in a secondary that's seen Tyrann Mathieu, Justin Bethel and Tramon Williams all depart in free agency.
Last season, the Cardinals ranked a respectable 14th in pass defense (221 yards allowed per game) while surrendering 24 scores through the air.