Manning suffered a hyperextended knee during Sunday's 38-13 defeat to the St Louis Rams, although he was handed some good news when an MRI scan revealed no tears in his knee.
The 31-year-old follows tight end Owen Daniels onto the Texans' injury reserve, and coach Gary Kubiak admitted that his side would miss both players.
"Losing OD, losing Danieal Manning, those are really go-to players. We're going to miss [Manning]. He was starting to return [kicks] for us because we got healthy in the secondary," Kubiak told reporters.
"We're going to miss Danieal as a player and a person. Young guys have to step up and play more."
The Texans signed cornerback Elbert Mack and promoted linebacker Mike Mohamed from the practice squad to fill the roster spots left vacant by Daniels and Manning.