The team announced Momah, who was listed as one of the Cardinals' starting tight ends on the team's initial depth chart, was placed on injured reserve because of a knee injury he suffered during Tuesday's practice.
The Cardinals signed tight end Joseph Fauria in a corresponding move.
Fauria was released by Detroit during its final cuts on Sept. 5. The 6-foot-7 Fauria played in 23 games the past two seasons with the Lions, catching 24 passes for 281 yards and eight touchdowns.
As a rookie in 2013, Fauria became one of four tight ends in Lions history to have seven touchdown receptions in a season. Three of those touchdowns came in a one game, against the Browns, setting a Lions mark for touchdown receptions by a tight end in a single game.
Momah participated in the NFL veteran combine at the Cardinals' practice facility in March.